What is the Greatest Common Factor of 70944 and 70962?

Greatest common factor (GCF) of 70944 and 70962 is 6.

GCF(70944,70962) = 6

We will now calculate the prime factors of 70944 and 70962, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70944 and 70962.

How to find the GCF of 70944 and 70962?

We will first find the prime factorization of 70944 and 70962. After we will calculate the factors of 70944 and 70962 and find the biggest common factor number .

Step-1: Prime Factorization of 70944

Prime factors of 70944 are 2, 3, 739. Prime factorization of 70944 in exponential form is:

70944 = 2⁵ × 3¹ × 739¹

Step-2: Prime Factorization of 70962

Prime factors of 70962 are 2, 3, 11827. Prime factorization of 70962 in exponential form is:

70962 = 2¹ × 3¹ × 11827¹

Step-3: Factors of 70944

List of positive integer factors of 70944 that divides 70944 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 739, 1478, 2217, 2956, 4434, 5912, 8868, 11824, 17736, 23648, 35472

Step-4: Factors of 70962

List of positive integer factors of 70962 that divides 70944 without a remainder.

1, 2, 3, 6, 11827, 23654, 35481

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70944 and 70962. The biggest common factor number is the GCF number.
So the greatest common factor 70944 and 70962 is 6.

Also check out the Least Common Multiple of 70944 and 70962