What is the Greatest Common Factor of 55356 and 55376?

Greatest common factor (GCF) of 55356 and 55376 is 4.

GCF(55356,55376) = 4

We will now calculate the prime factors of 55356 and 55376, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55356 and 55376.

How to find the GCF of 55356 and 55376?

We will first find the prime factorization of 55356 and 55376. After we will calculate the factors of 55356 and 55376 and find the biggest common factor number .

Step-1: Prime Factorization of 55356

Prime factors of 55356 are 2, 3, 7, 659. Prime factorization of 55356 in exponential form is:

55356 = 2² × 3¹ × 7¹ × 659¹

Step-2: Prime Factorization of 55376

Prime factors of 55376 are 2, 3461. Prime factorization of 55376 in exponential form is:

55376 = 2⁴ × 3461¹

Step-3: Factors of 55356

List of positive integer factors of 55356 that divides 55356 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 659, 1318, 1977, 2636, 3954, 4613, 7908, 9226, 13839, 18452, 27678

Step-4: Factors of 55376

List of positive integer factors of 55376 that divides 55356 without a remainder.

1, 2, 4, 8, 16, 3461, 6922, 13844, 27688

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55356 and 55376. The biggest common factor number is the GCF number.
So the greatest common factor 55356 and 55376 is 4.

Also check out the Least Common Multiple of 55356 and 55376