What is the Greatest Common Factor of 76944 and 76962?

Greatest common factor (GCF) of 76944 and 76962 is 6.

GCF(76944,76962) = 6

We will now calculate the prime factors of 76944 and 76962, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76944 and 76962.

How to find the GCF of 76944 and 76962?

We will first find the prime factorization of 76944 and 76962. After we will calculate the factors of 76944 and 76962 and find the biggest common factor number .

Step-1: Prime Factorization of 76944

Prime factors of 76944 are 2, 3, 7, 229. Prime factorization of 76944 in exponential form is:

76944 = 2⁴ × 3¹ × 7¹ × 229¹

Step-2: Prime Factorization of 76962

Prime factors of 76962 are 2, 3, 101, 127. Prime factorization of 76962 in exponential form is:

76962 = 2¹ × 3¹ × 101¹ × 127¹

Step-3: Factors of 76944

List of positive integer factors of 76944 that divides 76944 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 229, 336, 458, 687, 916, 1374, 1603, 1832, 2748, 3206, 3664, 4809, 5496, 6412, 9618, 10992, 12824, 19236, 25648, 38472

Step-4: Factors of 76962

List of positive integer factors of 76962 that divides 76944 without a remainder.

1, 2, 3, 6, 101, 127, 202, 254, 303, 381, 606, 762, 12827, 25654, 38481

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76944 and 76962. The biggest common factor number is the GCF number.
So the greatest common factor 76944 and 76962 is 6.

Also check out the Least Common Multiple of 76944 and 76962