What is the Greatest Common Factor of 58760 and 58780?

Greatest common factor (GCF) of 58760 and 58780 is 20.

GCF(58760,58780) = 20

We will now calculate the prime factors of 58760 and 58780, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58760 and 58780.

How to find the GCF of 58760 and 58780?

We will first find the prime factorization of 58760 and 58780. After we will calculate the factors of 58760 and 58780 and find the biggest common factor number .

Step-1: Prime Factorization of 58760

Prime factors of 58760 are 2, 5, 13, 113. Prime factorization of 58760 in exponential form is:

58760 = 2³ × 5¹ × 13¹ × 113¹

Step-2: Prime Factorization of 58780

Prime factors of 58780 are 2, 5, 2939. Prime factorization of 58780 in exponential form is:

58780 = 2² × 5¹ × 2939¹

Step-3: Factors of 58760

List of positive integer factors of 58760 that divides 58760 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 113, 130, 226, 260, 452, 520, 565, 904, 1130, 1469, 2260, 2938, 4520, 5876, 7345, 11752, 14690, 29380

Step-4: Factors of 58780

List of positive integer factors of 58780 that divides 58760 without a remainder.

1, 2, 4, 5, 10, 20, 2939, 5878, 11756, 14695, 29390

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58760 and 58780. The biggest common factor number is the GCF number.
So the greatest common factor 58760 and 58780 is 20.

Also check out the Least Common Multiple of 58760 and 58780