What is the Greatest Common Factor of 53599 and 53612?

Greatest common factor (GCF) of 53599 and 53612 is 13.

GCF(53599,53612) = 13

We will now calculate the prime factors of 53599 and 53612, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53599 and 53612.

How to find the GCF of 53599 and 53612?

We will first find the prime factorization of 53599 and 53612. After we will calculate the factors of 53599 and 53612 and find the biggest common factor number .

Step-1: Prime Factorization of 53599

Prime factors of 53599 are 7, 13, 19, 31. Prime factorization of 53599 in exponential form is:

53599 = 7¹ × 13¹ × 19¹ × 31¹

Step-2: Prime Factorization of 53612

Prime factors of 53612 are 2, 13, 1031. Prime factorization of 53612 in exponential form is:

53612 = 2² × 13¹ × 1031¹

Step-3: Factors of 53599

List of positive integer factors of 53599 that divides 53599 without a remainder.

1, 7, 13, 19, 31, 91, 133, 217, 247, 403, 589, 1729, 2821, 4123, 7657

Step-4: Factors of 53612

List of positive integer factors of 53612 that divides 53599 without a remainder.

1, 2, 4, 13, 26, 52, 1031, 2062, 4124, 13403, 26806

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53599 and 53612. The biggest common factor number is the GCF number.
So the greatest common factor 53599 and 53612 is 13.

Also check out the Least Common Multiple of 53599 and 53612