What is the Greatest Common Factor of 70632 and 70638?

Greatest common factor (GCF) of 70632 and 70638 is 6.

GCF(70632,70638) = 6

We will now calculate the prime factors of 70632 and 70638, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70632 and 70638.

How to find the GCF of 70632 and 70638?

We will first find the prime factorization of 70632 and 70638. After we will calculate the factors of 70632 and 70638 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 70638

Prime factors of 70638 are 2, 3, 61, 193. Prime factorization of 70638 in exponential form is:

70638 = 2¹ × 3¹ × 61¹ × 193¹

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 70638

List of positive integer factors of 70638 that divides 70632 without a remainder.

1, 2, 3, 6, 61, 122, 183, 193, 366, 386, 579, 1158, 11773, 23546, 35319

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70632 and 70638. The biggest common factor number is the GCF number.
So the greatest common factor 70632 and 70638 is 6.

Also check out the Least Common Multiple of 70632 and 70638