What is the Greatest Common Factor of 55146 and 55158?

Greatest common factor (GCF) of 55146 and 55158 is 6.

GCF(55146,55158) = 6

We will now calculate the prime factors of 55146 and 55158, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55146 and 55158.

How to find the GCF of 55146 and 55158?

We will first find the prime factorization of 55146 and 55158. After we will calculate the factors of 55146 and 55158 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 55158

Prime factors of 55158 are 2, 3, 29, 317. Prime factorization of 55158 in exponential form is:

55158 = 2¹ × 3¹ × 29¹ × 317¹

Step-3: Factors of 55146

List of positive integer factors of 55146 that divides 55146 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

Step-4: Factors of 55158

List of positive integer factors of 55158 that divides 55146 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174, 317, 634, 951, 1902, 9193, 18386, 27579

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55146 and 55158. The biggest common factor number is the GCF number.
So the greatest common factor 55146 and 55158 is 6.

Also check out the Least Common Multiple of 55146 and 55158