What is the Greatest Common Factor of 53604 and 53616?

Greatest common factor (GCF) of 53604 and 53616 is 12.

GCF(53604,53616) = 12

We will now calculate the prime factors of 53604 and 53616, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53604 and 53616.

How to find the GCF of 53604 and 53616?

We will first find the prime factorization of 53604 and 53616. After we will calculate the factors of 53604 and 53616 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 53616

Prime factors of 53616 are 2, 3, 1117. Prime factorization of 53616 in exponential form is:

53616 = 2⁴ × 3¹ × 1117¹

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 53616

List of positive integer factors of 53616 that divides 53604 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1117, 2234, 3351, 4468, 6702, 8936, 13404, 17872, 26808

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53604 and 53616. The biggest common factor number is the GCF number.
So the greatest common factor 53604 and 53616 is 12.

Also check out the Least Common Multiple of 53604 and 53616