What is the Greatest Common Factor of 58672 and 58680?

Greatest common factor (GCF) of 58672 and 58680 is 8.

GCF(58672,58680) = 8

We will now calculate the prime factors of 58672 and 58680, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58672 and 58680.

How to find the GCF of 58672 and 58680?

We will first find the prime factorization of 58672 and 58680. After we will calculate the factors of 58672 and 58680 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 58680

Prime factors of 58680 are 2, 3, 5, 163. Prime factorization of 58680 in exponential form is:

58680 = 2³ × 3² × 5¹ × 163¹

Step-3: Factors of 58672

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

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

Step-4: Factors of 58680

List of positive integer factors of 58680 that divides 58672 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 163, 180, 326, 360, 489, 652, 815, 978, 1304, 1467, 1630, 1956, 2445, 2934, 3260, 3912, 4890, 5868, 6520, 7335, 9780, 11736, 14670, 19560, 29340

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58672 and 58680. The biggest common factor number is the GCF number.
So the greatest common factor 58672 and 58680 is 8.

Also check out the Least Common Multiple of 58672 and 58680