What is the Greatest Common Factor of 55132 and 55146?

Greatest common factor (GCF) of 55132 and 55146 is 14.

GCF(55132,55146) = 14

We will now calculate the prime factors of 55132 and 55146, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55132 and 55146.

How to find the GCF of 55132 and 55146?

We will first find the prime factorization of 55132 and 55146. After we will calculate the factors of 55132 and 55146 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 55146

Prime factors of 55146 are 2, 3, 7, 13, 101. Prime factorization of 55146 in exponential form is:

55146 = 2¹ × 3¹ × 7¹ × 13¹ × 101¹

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 55146

List of positive integer factors of 55146 that divides 55132 without a remainder.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 101, 182, 202, 273, 303, 546, 606, 707, 1313, 1414, 2121, 2626, 3939, 4242, 7878, 9191, 18382, 27573

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55132 and 55146. The biggest common factor number is the GCF number.
So the greatest common factor 55132 and 55146 is 14.

Also check out the Least Common Multiple of 55132 and 55146