What is the Greatest Common Factor of 55356 and 55370?

Greatest common factor (GCF) of 55356 and 55370 is 14.

GCF(55356,55370) = 14

We will now calculate the prime factors of 55356 and 55370, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55356 and 55370.

How to find the GCF of 55356 and 55370?

We will first find the prime factorization of 55356 and 55370. After we will calculate the factors of 55356 and 55370 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 55370

Prime factors of 55370 are 2, 5, 7, 113. Prime factorization of 55370 in exponential form is:

55370 = 2¹ × 5¹ × 7² × 113¹

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 55370

List of positive integer factors of 55370 that divides 55356 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 113, 226, 245, 490, 565, 791, 1130, 1582, 3955, 5537, 7910, 11074, 27685

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55356 and 55370. The biggest common factor number is the GCF number.
So the greatest common factor 55356 and 55370 is 14.

Also check out the Least Common Multiple of 55356 and 55370