What is the Greatest Common Factor of 55132 and 55147?

Greatest common factor (GCF) of 55132 and 55147 is 1.

GCF(55132,55147) = 1

We will now calculate the prime factors of 55132 and 55147, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55132 and 55147.

How to find the GCF of 55132 and 55147?

We will first find the prime factorization of 55132 and 55147. After we will calculate the factors of 55132 and 55147 and find the biggest common factor number .

Step-1: Prime Factorization of 55132

Prime factors of 55132 are 2, 7, 11, 179. Prime factorization of 55132 in exponential form is:

55132 = 2² × 7¹ × 11¹ × 179¹

Step-2: Prime Factorization of 55147

Prime factors of 55147 are 55147. Prime factorization of 55147 in exponential form is:

55147 = 55147¹

Step-3: Factors of 55132

List of positive integer factors of 55132 that divides 55132 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 179, 308, 358, 716, 1253, 1969, 2506, 3938, 5012, 7876, 13783, 27566

Step-4: Factors of 55147

List of positive integer factors of 55147 that divides 55132 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55132 and 55147. The biggest common factor number is the GCF number.
So the greatest common factor 55132 and 55147 is 1.

Also check out the Least Common Multiple of 55132 and 55147