What is the Greatest Common Factor of 58652 and 58672?

Greatest common factor (GCF) of 58652 and 58672 is 4.

GCF(58652,58672) = 4

We will now calculate the prime factors of 58652 and 58672, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58652 and 58672.

How to find the GCF of 58652 and 58672?

We will first find the prime factorization of 58652 and 58672. After we will calculate the factors of 58652 and 58672 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 58672

Prime factors of 58672 are 2, 19, 193. Prime factorization of 58672 in exponential form is:

58672 = 2⁴ × 19¹ × 193¹

Step-3: Factors of 58652

List of positive integer factors of 58652 that divides 58652 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

Step-4: Factors of 58672

List of positive integer factors of 58672 that divides 58652 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 193, 304, 386, 772, 1544, 3088, 3667, 7334, 14668, 29336

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58652 and 58672. The biggest common factor number is the GCF number.
So the greatest common factor 58652 and 58672 is 4.

Also check out the Least Common Multiple of 58652 and 58672