What is the Greatest Common Factor of 58663 and 58674?

Greatest common factor (GCF) of 58663 and 58674 is 11.

GCF(58663,58674) = 11

We will now calculate the prime factors of 58663 and 58674, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58663 and 58674.

How to find the GCF of 58663 and 58674?

We will first find the prime factorization of 58663 and 58674. After we will calculate the factors of 58663 and 58674 and find the biggest common factor number .

Step-1: Prime Factorization of 58663

Prime factors of 58663 are 11, 5333. Prime factorization of 58663 in exponential form is:

58663 = 11¹ × 5333¹

Step-2: Prime Factorization of 58674

Prime factors of 58674 are 2, 3, 7, 11, 127. Prime factorization of 58674 in exponential form is:

58674 = 2¹ × 3¹ × 7¹ × 11¹ × 127¹

Step-3: Factors of 58663

List of positive integer factors of 58663 that divides 58663 without a remainder.

1, 11, 5333

Step-4: Factors of 58674

List of positive integer factors of 58674 that divides 58663 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 127, 154, 231, 254, 381, 462, 762, 889, 1397, 1778, 2667, 2794, 4191, 5334, 8382, 9779, 19558, 29337

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58663 and 58674. The biggest common factor number is the GCF number.
So the greatest common factor 58663 and 58674 is 11.

Also check out the Least Common Multiple of 58663 and 58674