What is the Greatest Common Factor of 70632 and 70636?

Greatest common factor (GCF) of 70632 and 70636 is 4.

GCF(70632,70636) = 4

We will now calculate the prime factors of 70632 and 70636, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70632 and 70636.

How to find the GCF of 70632 and 70636?

We will first find the prime factorization of 70632 and 70636. After we will calculate the factors of 70632 and 70636 and find the biggest common factor number .

Step-1: Prime Factorization of 70632

Prime factors of 70632 are 2, 3, 109. Prime factorization of 70632 in exponential form is:

70632 = 2³ × 3⁴ × 109¹

Step-2: Prime Factorization of 70636

Prime factors of 70636 are 2, 17659. Prime factorization of 70636 in exponential form is:

70636 = 2² × 17659¹

Step-3: Factors of 70632

List of positive integer factors of 70632 that divides 70632 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 109, 162, 216, 218, 324, 327, 436, 648, 654, 872, 981, 1308, 1962, 2616, 2943, 3924, 5886, 7848, 8829, 11772, 17658, 23544, 35316

Step-4: Factors of 70636

List of positive integer factors of 70636 that divides 70632 without a remainder.

1, 2, 4, 17659, 35318

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70632 and 70636. The biggest common factor number is the GCF number.
So the greatest common factor 70632 and 70636 is 4.

Also check out the Least Common Multiple of 70632 and 70636