What is the Greatest Common Factor of 56658 and 56670?

Greatest common factor (GCF) of 56658 and 56670 is 6.

GCF(56658,56670) = 6

We will now calculate the prime factors of 56658 and 56670, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56658 and 56670.

How to find the GCF of 56658 and 56670?

We will first find the prime factorization of 56658 and 56670. After we will calculate the factors of 56658 and 56670 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 56670

Prime factors of 56670 are 2, 3, 5, 1889. Prime factorization of 56670 in exponential form is:

56670 = 2¹ × 3¹ × 5¹ × 1889¹

Step-3: Factors of 56658

List of positive integer factors of 56658 that divides 56658 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

Step-4: Factors of 56670

List of positive integer factors of 56670 that divides 56658 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1889, 3778, 5667, 9445, 11334, 18890, 28335

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56658 and 56670. The biggest common factor number is the GCF number.
So the greatest common factor 56658 and 56670 is 6.

Also check out the Least Common Multiple of 56658 and 56670