What is the Greatest Common Factor of 53379 and 53388?

Greatest common factor (GCF) of 53379 and 53388 is 9.

GCF(53379,53388) = 9

We will now calculate the prime factors of 53379 and 53388, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53379 and 53388.

How to find the GCF of 53379 and 53388?

We will first find the prime factorization of 53379 and 53388. After we will calculate the factors of 53379 and 53388 and find the biggest common factor number .

Step-1: Prime Factorization of 53379

Prime factors of 53379 are 3, 659. Prime factorization of 53379 in exponential form is:

53379 = 3⁴ × 659¹

Step-2: Prime Factorization of 53388

Prime factors of 53388 are 2, 3, 1483. Prime factorization of 53388 in exponential form is:

53388 = 2² × 3² × 1483¹

Step-3: Factors of 53379

List of positive integer factors of 53379 that divides 53379 without a remainder.

1, 3, 9, 27, 81, 659, 1977, 5931, 17793

Step-4: Factors of 53388

List of positive integer factors of 53388 that divides 53379 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1483, 2966, 4449, 5932, 8898, 13347, 17796, 26694

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53379 and 53388. The biggest common factor number is the GCF number.
So the greatest common factor 53379 and 53388 is 9.

Also check out the Least Common Multiple of 53379 and 53388