What is the Greatest Common Factor of 58764 and 58776?

Greatest common factor (GCF) of 58764 and 58776 is 12.

GCF(58764,58776) = 12

We will now calculate the prime factors of 58764 and 58776, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58764 and 58776.

How to find the GCF of 58764 and 58776?

We will first find the prime factorization of 58764 and 58776. After we will calculate the factors of 58764 and 58776 and find the biggest common factor number .

Step-1: Prime Factorization of 58764

Prime factors of 58764 are 2, 3, 59, 83. Prime factorization of 58764 in exponential form is:

58764 = 2² × 3¹ × 59¹ × 83¹

Step-2: Prime Factorization of 58776

Prime factors of 58776 are 2, 3, 31, 79. Prime factorization of 58776 in exponential form is:

58776 = 2³ × 3¹ × 31¹ × 79¹

Step-3: Factors of 58764

List of positive integer factors of 58764 that divides 58764 without a remainder.

1, 2, 3, 4, 6, 12, 59, 83, 118, 166, 177, 236, 249, 332, 354, 498, 708, 996, 4897, 9794, 14691, 19588, 29382

Step-4: Factors of 58776

List of positive integer factors of 58776 that divides 58764 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 79, 93, 124, 158, 186, 237, 248, 316, 372, 474, 632, 744, 948, 1896, 2449, 4898, 7347, 9796, 14694, 19592, 29388

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58764 and 58776. The biggest common factor number is the GCF number.
So the greatest common factor 58764 and 58776 is 12.

Also check out the Least Common Multiple of 58764 and 58776