What is the Greatest Common Factor of 58680 and 58690?

Greatest common factor (GCF) of 58680 and 58690 is 10.

GCF(58680,58690) = 10

We will now calculate the prime factors of 58680 and 58690, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58680 and 58690.

How to find the GCF of 58680 and 58690?

We will first find the prime factorization of 58680 and 58690. After we will calculate the factors of 58680 and 58690 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 58690

Prime factors of 58690 are 2, 5, 5869. Prime factorization of 58690 in exponential form is:

58690 = 2¹ × 5¹ × 5869¹

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 58690

List of positive integer factors of 58690 that divides 58680 without a remainder.

1, 2, 5, 10, 5869, 11738, 29345

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58680 and 58690. The biggest common factor number is the GCF number.
So the greatest common factor 58680 and 58690 is 10.

Also check out the Least Common Multiple of 58680 and 58690