What is the Greatest Common Factor of 53604 and 53624?

Greatest common factor (GCF) of 53604 and 53624 is 4.

GCF(53604,53624) = 4

We will now calculate the prime factors of 53604 and 53624, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53604 and 53624.

How to find the GCF of 53604 and 53624?

We will first find the prime factorization of 53604 and 53624. After we will calculate the factors of 53604 and 53624 and find the biggest common factor number .

Step-1: Prime Factorization of 53604

Prime factors of 53604 are 2, 3, 1489. Prime factorization of 53604 in exponential form is:

53604 = 2² × 3² × 1489¹

Step-2: Prime Factorization of 53624

Prime factors of 53624 are 2, 6703. Prime factorization of 53624 in exponential form is:

53624 = 2³ × 6703¹

Step-3: Factors of 53604

List of positive integer factors of 53604 that divides 53604 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1489, 2978, 4467, 5956, 8934, 13401, 17868, 26802

Step-4: Factors of 53624

List of positive integer factors of 53624 that divides 53604 without a remainder.

1, 2, 4, 8, 6703, 13406, 26812

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53604 and 53624. The biggest common factor number is the GCF number.
So the greatest common factor 53604 and 53624 is 4.

Also check out the Least Common Multiple of 53604 and 53624