What is the Greatest Common Factor of 70624 and 70632?

Greatest common factor (GCF) of 70624 and 70632 is 8.

GCF(70624,70632) = 8

We will now calculate the prime factors of 70624 and 70632, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70624 and 70632.

How to find the GCF of 70624 and 70632?

We will first find the prime factorization of 70624 and 70632. After we will calculate the factors of 70624 and 70632 and find the biggest common factor number .

Step-1: Prime Factorization of 70624

Prime factors of 70624 are 2, 2207. Prime factorization of 70624 in exponential form is:

70624 = 2⁵ × 2207¹

Step-2: 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-3: Factors of 70624

List of positive integer factors of 70624 that divides 70624 without a remainder.

1, 2, 4, 8, 16, 32, 2207, 4414, 8828, 17656, 35312

Step-4: Factors of 70632

List of positive integer factors of 70632 that divides 70624 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70624 and 70632. The biggest common factor number is the GCF number.
So the greatest common factor 70624 and 70632 is 8.

Also check out the Least Common Multiple of 70624 and 70632