GCF for 126 and 147

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

What is the Greatest Common Divisor of 126 and 147?

Answer

GCF of 126 and 147 is 21

(Twenty-one)

Finding GCF for 126 and 147 using all factors (divisors) listing

The first method to find GCF for numbers 126 and 147 is to list all factors for both numbers and pick the highest common one:

All factors of 126: 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

All factors of 147: 1, 3, 7, 21, 49, 147

So the Greatest Common Factor for 126 and 147 is 21

Finding GCF for 126 and 147 by Prime Factorization

The second method to find GCF for numbers 126 and 147 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 126: 2, 3, 3, 7

All Prime Factors of 147: 3, 7, 7

As we can see there are Prime Factors common to both numbers: 3, 7

Now we need to multiply them to find GCF: 3 × 7 = 21

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About "Greatest Common Factor" Calculator

This calculator will help you find the greatest common factor (GCF) of two numbers. For example, it can help you find out what is the Greatest Common Divisor of 126 and 147? (The answer is: 21). Select the first number (e.g. '126') and the second number (e.g. '147'). After that hit the 'Calculate' button.
Greatest Common Factor (GCF) also known as the Greatest Common Divisor (GCD) or Highest Common Factor (HCF) - it is the largest positive integer that divides each of the integers with zero remainder.

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

GCF Table

Number 1Number 2GCF
1111473
1121477
1131471
1141473
1151471
1161471
1171473
1181471
1191477
1201473
1211471
1221471
1231473
1241471
1251471
12614721
1271471
1281471
1291473
1301471
1311471
1321473
1331477
1341471
1351473
1361471
1371471
1381473
1391471
1401477

FAQ

What is the Greatest Common Divisor of 126 and 147?

GCF of 126 and 147 is 21

How to find the GCF of 126 and 147?

You can find the GCF of 126 and 147 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 126 and 147 is 21.

See Also