What is the Greatest Common Factor of 55356 and 55363?

Greatest common factor (GCF) of 55356 and 55363 is 7.

GCF(55356,55363) = 7

We will now calculate the prime factors of 55356 and 55363, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55356 and 55363.

How to find the GCF of 55356 and 55363?

We will first find the prime factorization of 55356 and 55363. After we will calculate the factors of 55356 and 55363 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 55363

Prime factors of 55363 are 7, 11, 719. Prime factorization of 55363 in exponential form is:

55363 = 7¹ × 11¹ × 719¹

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 55363

List of positive integer factors of 55363 that divides 55356 without a remainder.

1, 7, 11, 77, 719, 5033, 7909

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55356 and 55363. The biggest common factor number is the GCF number.
So the greatest common factor 55356 and 55363 is 7.

Also check out the Least Common Multiple of 55356 and 55363