What is the Greatest Common Factor of 53548 and 53552?

Greatest common factor (GCF) of 53548 and 53552 is 4.

GCF(53548,53552) = 4

We will now calculate the prime factors of 53548 and 53552, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53548 and 53552.

How to find the GCF of 53548 and 53552?

We will first find the prime factorization of 53548 and 53552. After we will calculate the factors of 53548 and 53552 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 53552

Prime factors of 53552 are 2, 3347. Prime factorization of 53552 in exponential form is:

53552 = 2⁴ × 3347¹

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 53552

List of positive integer factors of 53552 that divides 53548 without a remainder.

1, 2, 4, 8, 16, 3347, 6694, 13388, 26776

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53548 and 53552. The biggest common factor number is the GCF number.
So the greatest common factor 53548 and 53552 is 4.

Also check out the Least Common Multiple of 53548 and 53552