What is the Greatest Common Factor of 55114 and 55132?

Greatest common factor (GCF) of 55114 and 55132 is 2.

GCF(55114,55132) = 2

We will now calculate the prime factors of 55114 and 55132, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55114 and 55132.

How to find the GCF of 55114 and 55132?

We will first find the prime factorization of 55114 and 55132. After we will calculate the factors of 55114 and 55132 and find the biggest common factor number .

Step-1: Prime Factorization of 55114

Prime factors of 55114 are 2, 17, 1621. Prime factorization of 55114 in exponential form is:

55114 = 2¹ × 17¹ × 1621¹

Step-2: 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-3: Factors of 55114

List of positive integer factors of 55114 that divides 55114 without a remainder.

1, 2, 17, 34, 1621, 3242, 27557

Step-4: Factors of 55132

List of positive integer factors of 55132 that divides 55114 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55114 and 55132. The biggest common factor number is the GCF number.
So the greatest common factor 55114 and 55132 is 2.

Also check out the Least Common Multiple of 55114 and 55132