What is the Greatest Common Factor of 53604 and 53621?

Greatest common factor (GCF) of 53604 and 53621 is 1.

GCF(53604,53621) = 1

We will now calculate the prime factors of 53604 and 53621, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53604 and 53621.

How to find the GCF of 53604 and 53621?

We will first find the prime factorization of 53604 and 53621. After we will calculate the factors of 53604 and 53621 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 53621

Prime factors of 53621 are 29, 43. Prime factorization of 53621 in exponential form is:

53621 = 29¹ × 43²

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 53621

List of positive integer factors of 53621 that divides 53604 without a remainder.

1, 29, 43, 1247, 1849

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53604 and 53621. The biggest common factor number is the GCF number.
So the greatest common factor 53604 and 53621 is 1.

Also check out the Least Common Multiple of 53604 and 53621