What is the Greatest Common Factor of 53388 and 53396?

Greatest common factor (GCF) of 53388 and 53396 is 4.

GCF(53388,53396) = 4

We will now calculate the prime factors of 53388 and 53396, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53388 and 53396.

How to find the GCF of 53388 and 53396?

We will first find the prime factorization of 53388 and 53396. After we will calculate the factors of 53388 and 53396 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 53396

Prime factors of 53396 are 2, 7, 1907. Prime factorization of 53396 in exponential form is:

53396 = 2² × 7¹ × 1907¹

Step-3: Factors of 53388

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

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

Step-4: Factors of 53396

List of positive integer factors of 53396 that divides 53388 without a remainder.

1, 2, 4, 7, 14, 28, 1907, 3814, 7628, 13349, 26698

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53388 and 53396. The biggest common factor number is the GCF number.
So the greatest common factor 53388 and 53396 is 4.

Also check out the Least Common Multiple of 53388 and 53396