What is the Greatest Common Factor of 69624 and 69636?

Greatest common factor (GCF) of 69624 and 69636 is 12.

GCF(69624,69636) = 12

We will now calculate the prime factors of 69624 and 69636, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69624 and 69636.

How to find the GCF of 69624 and 69636?

We will first find the prime factorization of 69624 and 69636. After we will calculate the factors of 69624 and 69636 and find the biggest common factor number .

Step-1: Prime Factorization of 69624

Prime factors of 69624 are 2, 3, 967. Prime factorization of 69624 in exponential form is:

69624 = 2³ × 3² × 967¹

Step-2: Prime Factorization of 69636

Prime factors of 69636 are 2, 3, 7, 829. Prime factorization of 69636 in exponential form is:

69636 = 2² × 3¹ × 7¹ × 829¹

Step-3: Factors of 69624

List of positive integer factors of 69624 that divides 69624 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 967, 1934, 2901, 3868, 5802, 7736, 8703, 11604, 17406, 23208, 34812

Step-4: Factors of 69636

List of positive integer factors of 69636 that divides 69624 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 829, 1658, 2487, 3316, 4974, 5803, 9948, 11606, 17409, 23212, 34818

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69624 and 69636. The biggest common factor number is the GCF number.
So the greatest common factor 69624 and 69636 is 12.

Also check out the Least Common Multiple of 69624 and 69636