What is the Greatest Common Factor of 53548 and 53564?

Greatest common factor (GCF) of 53548 and 53564 is 4.

GCF(53548,53564) = 4

We will now calculate the prime factors of 53548 and 53564, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53548 and 53564.

How to find the GCF of 53548 and 53564?

We will first find the prime factorization of 53548 and 53564. After we will calculate the factors of 53548 and 53564 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 53564

Prime factors of 53564 are 2, 7, 1913. Prime factorization of 53564 in exponential form is:

53564 = 2² × 7¹ × 1913¹

Step-3: Factors of 53548

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

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

Step-4: Factors of 53564

List of positive integer factors of 53564 that divides 53548 without a remainder.

1, 2, 4, 7, 14, 28, 1913, 3826, 7652, 13391, 26782

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53548 and 53564. The biggest common factor number is the GCF number.
So the greatest common factor 53548 and 53564 is 4.

Also check out the Least Common Multiple of 53548 and 53564