What is the Greatest Common Factor of 70316 and 70332?

Greatest common factor (GCF) of 70316 and 70332 is 4.

GCF(70316,70332) = 4

We will now calculate the prime factors of 70316 and 70332, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70316 and 70332.

How to find the GCF of 70316 and 70332?

We will first find the prime factorization of 70316 and 70332. After we will calculate the factors of 70316 and 70332 and find the biggest common factor number .

Step-1: Prime Factorization of 70316

Prime factors of 70316 are 2, 17579. Prime factorization of 70316 in exponential form is:

70316 = 2² × 17579¹

Step-2: Prime Factorization of 70332

Prime factors of 70332 are 2, 3, 5861. Prime factorization of 70332 in exponential form is:

70332 = 2² × 3¹ × 5861¹

Step-3: Factors of 70316

List of positive integer factors of 70316 that divides 70316 without a remainder.

1, 2, 4, 17579, 35158

Step-4: Factors of 70332

List of positive integer factors of 70332 that divides 70316 without a remainder.

1, 2, 3, 4, 6, 12, 5861, 11722, 17583, 23444, 35166

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70316 and 70332. The biggest common factor number is the GCF number.
So the greatest common factor 70316 and 70332 is 4.

Also check out the Least Common Multiple of 70316 and 70332