GCF & HCF Calculator
Find the greatest common factor (highest common factor) of numbers with steps.
Enter your values to see the result.
The greatest common factor (GCF) is also called the highest common factor (HCF) or greatest common divisor (GCD).
Continue your work
- LCM Calculator — Find the least common multiple.
- Factor Calculator — List every factor of a number.
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Clear instructions
Find steps, examples and limitations below.
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How to use the GCF & HCF Calculator
Find the greatest common factor (highest common factor) of numbers with steps.
- 1 Enter two or more whole numbers.
- 2 Read the GCF.
- 3 Use the prime factorizations to see which factors the numbers share.
Example and practical tips
The GCF of 48, 180 and 72 is 12, so 48:180:72 simplifies to 4:15:6.
Frequently asked questions
Are GCF, HCF and GCD the same?
Yes. They are three names for the largest number that divides all the given numbers.
What does a GCF of 1 mean?
The numbers share no factor except 1, so they are coprime.
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