What is the Greatest Common Factor of 53538 and 53548?

Greatest common factor (GCF) of 53538 and 53548 is 2.

GCF(53538,53548) = 2

We will now calculate the prime factors of 53538 and 53548, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53538 and 53548.

How to find the GCF of 53538 and 53548?

We will first find the prime factorization of 53538 and 53548. After we will calculate the factors of 53538 and 53548 and find the biggest common factor number .

Step-1: Prime Factorization of 53538

Prime factors of 53538 are 2, 3, 8923. Prime factorization of 53538 in exponential form is:

53538 = 2¹ × 3¹ × 8923¹

Step-2: Prime Factorization of 53548

Prime factors of 53548 are 2, 11, 1217. Prime factorization of 53548 in exponential form is:

53548 = 2² × 11¹ × 1217¹

Step-3: Factors of 53538

List of positive integer factors of 53538 that divides 53538 without a remainder.

1, 2, 3, 6, 8923, 17846, 26769

Step-4: Factors of 53548

List of positive integer factors of 53548 that divides 53538 without a remainder.

1, 2, 4, 11, 22, 44, 1217, 2434, 4868, 13387, 26774

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53538 and 53548. The biggest common factor number is the GCF number.
So the greatest common factor 53538 and 53548 is 2.

Also check out the Least Common Multiple of 53538 and 53548