What is the Greatest Common Factor of 56154 and 56168?

Greatest common factor (GCF) of 56154 and 56168 is 14.

GCF(56154,56168) = 14

We will now calculate the prime factors of 56154 and 56168, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56154 and 56168.

How to find the GCF of 56154 and 56168?

We will first find the prime factorization of 56154 and 56168. After we will calculate the factors of 56154 and 56168 and find the biggest common factor number .

Step-1: Prime Factorization of 56154

Prime factors of 56154 are 2, 3, 7, 191. Prime factorization of 56154 in exponential form is:

56154 = 2¹ × 3¹ × 7² × 191¹

Step-2: Prime Factorization of 56168

Prime factors of 56168 are 2, 7, 17, 59. Prime factorization of 56168 in exponential form is:

56168 = 2³ × 7¹ × 17¹ × 59¹

Step-3: Factors of 56154

List of positive integer factors of 56154 that divides 56154 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 191, 294, 382, 573, 1146, 1337, 2674, 4011, 8022, 9359, 18718, 28077

Step-4: Factors of 56168

List of positive integer factors of 56168 that divides 56154 without a remainder.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 59, 68, 118, 119, 136, 236, 238, 413, 472, 476, 826, 952, 1003, 1652, 2006, 3304, 4012, 7021, 8024, 14042, 28084

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56154 and 56168. The biggest common factor number is the GCF number.
So the greatest common factor 56154 and 56168 is 14.

Also check out the Least Common Multiple of 56154 and 56168