What is the Greatest Common Factor of 70632 and 70647?

Greatest common factor (GCF) of 70632 and 70647 is 3.

GCF(70632,70647) = 3

We will now calculate the prime factors of 70632 and 70647, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70632 and 70647.

How to find the GCF of 70632 and 70647?

We will first find the prime factorization of 70632 and 70647. After we will calculate the factors of 70632 and 70647 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 70647

Prime factors of 70647 are 3, 23549. Prime factorization of 70647 in exponential form is:

70647 = 3¹ × 23549¹

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 70647

List of positive integer factors of 70647 that divides 70632 without a remainder.

1, 3, 23549

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70632 and 70647. The biggest common factor number is the GCF number.
So the greatest common factor 70632 and 70647 is 3.

Also check out the Least Common Multiple of 70632 and 70647