What is the Greatest Common Factor of 58680 and 58692?

Greatest common factor (GCF) of 58680 and 58692 is 12.

GCF(58680,58692) = 12

We will now calculate the prime factors of 58680 and 58692, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58680 and 58692.

How to find the GCF of 58680 and 58692?

We will first find the prime factorization of 58680 and 58692. After we will calculate the factors of 58680 and 58692 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 58692

Prime factors of 58692 are 2, 3, 67, 73. Prime factorization of 58692 in exponential form is:

58692 = 2² × 3¹ × 67¹ × 73¹

Step-3: Factors of 58680

List of positive integer factors of 58680 that divides 58680 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

Step-4: Factors of 58692

List of positive integer factors of 58692 that divides 58680 without a remainder.

1, 2, 3, 4, 6, 12, 67, 73, 134, 146, 201, 219, 268, 292, 402, 438, 804, 876, 4891, 9782, 14673, 19564, 29346

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58680 and 58692. The biggest common factor number is the GCF number.
So the greatest common factor 58680 and 58692 is 12.

Also check out the Least Common Multiple of 58680 and 58692