What is the Greatest Common Factor of 58656 and 58665?

Greatest common factor (GCF) of 58656 and 58665 is 3.

GCF(58656,58665) = 3

We will now calculate the prime factors of 58656 and 58665, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58656 and 58665.

How to find the GCF of 58656 and 58665?

We will first find the prime factorization of 58656 and 58665. After we will calculate the factors of 58656 and 58665 and find the biggest common factor number .

Step-1: Prime Factorization of 58656

Prime factors of 58656 are 2, 3, 13, 47. Prime factorization of 58656 in exponential form is:

58656 = 2⁵ × 3¹ × 13¹ × 47¹

Step-2: Prime Factorization of 58665

Prime factors of 58665 are 3, 5, 3911. Prime factorization of 58665 in exponential form is:

58665 = 3¹ × 5¹ × 3911¹

Step-3: Factors of 58656

List of positive integer factors of 58656 that divides 58656 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 32, 39, 47, 48, 52, 78, 94, 96, 104, 141, 156, 188, 208, 282, 312, 376, 416, 564, 611, 624, 752, 1128, 1222, 1248, 1504, 1833, 2256, 2444, 3666, 4512, 4888, 7332, 9776, 14664, 19552, 29328

Step-4: Factors of 58665

List of positive integer factors of 58665 that divides 58656 without a remainder.

1, 3, 5, 15, 3911, 11733, 19555

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58656 and 58665. The biggest common factor number is the GCF number.
So the greatest common factor 58656 and 58665 is 3.

Also check out the Least Common Multiple of 58656 and 58665