What is the Greatest Common Factor of 56644 and 56658?

Greatest common factor (GCF) of 56644 and 56658 is 14.

GCF(56644,56658) = 14

We will now calculate the prime factors of 56644 and 56658, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56644 and 56658.

How to find the GCF of 56644 and 56658?

We will first find the prime factorization of 56644 and 56658. After we will calculate the factors of 56644 and 56658 and find the biggest common factor number .

Step-1: Prime Factorization of 56644

Prime factors of 56644 are 2, 7, 17. Prime factorization of 56644 in exponential form is:

56644 = 2² × 7² × 17²

Step-2: Prime Factorization of 56658

Prime factors of 56658 are 2, 3, 7, 19, 71. Prime factorization of 56658 in exponential form is:

56658 = 2¹ × 3¹ × 7¹ × 19¹ × 71¹

Step-3: Factors of 56644

List of positive integer factors of 56644 that divides 56644 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 49, 68, 98, 119, 196, 238, 289, 476, 578, 833, 1156, 1666, 2023, 3332, 4046, 8092, 14161, 28322

Step-4: Factors of 56658

List of positive integer factors of 56658 that divides 56644 without a remainder.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 71, 114, 133, 142, 213, 266, 399, 426, 497, 798, 994, 1349, 1491, 2698, 2982, 4047, 8094, 9443, 18886, 28329

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56644 and 56658. The biggest common factor number is the GCF number.
So the greatest common factor 56644 and 56658 is 14.

Also check out the Least Common Multiple of 56644 and 56658