What is the Greatest Common Factor of 58641 and 58652?

Greatest common factor (GCF) of 58641 and 58652 is 11.

GCF(58641,58652) = 11

We will now calculate the prime factors of 58641 and 58652, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58641 and 58652.

How to find the GCF of 58641 and 58652?

We will first find the prime factorization of 58641 and 58652. After we will calculate the factors of 58641 and 58652 and find the biggest common factor number .

Step-1: Prime Factorization of 58641

Prime factors of 58641 are 3, 11, 1777. Prime factorization of 58641 in exponential form is:

58641 = 3¹ × 11¹ × 1777¹

Step-2: Prime Factorization of 58652

Prime factors of 58652 are 2, 11, 31, 43. Prime factorization of 58652 in exponential form is:

58652 = 2² × 11¹ × 31¹ × 43¹

Step-3: Factors of 58641

List of positive integer factors of 58641 that divides 58641 without a remainder.

1, 3, 11, 33, 1777, 5331, 19547

Step-4: Factors of 58652

List of positive integer factors of 58652 that divides 58641 without a remainder.

1, 2, 4, 11, 22, 31, 43, 44, 62, 86, 124, 172, 341, 473, 682, 946, 1333, 1364, 1892, 2666, 5332, 14663, 29326

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58641 and 58652. The biggest common factor number is the GCF number.
So the greatest common factor 58641 and 58652 is 11.

Also check out the Least Common Multiple of 58641 and 58652