What is the Greatest Common Factor of 58760 and 58767?

Greatest common factor (GCF) of 58760 and 58767 is 1.

GCF(58760,58767) = 1

We will now calculate the prime factors of 58760 and 58767, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58760 and 58767.

How to find the GCF of 58760 and 58767?

We will first find the prime factorization of 58760 and 58767. After we will calculate the factors of 58760 and 58767 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 58767

Prime factors of 58767 are 3, 19, 1031. Prime factorization of 58767 in exponential form is:

58767 = 3¹ × 19¹ × 1031¹

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 58767

List of positive integer factors of 58767 that divides 58760 without a remainder.

1, 3, 19, 57, 1031, 3093, 19589

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58760 and 58767. The biggest common factor number is the GCF number.
So the greatest common factor 58760 and 58767 is 1.

Also check out the Least Common Multiple of 58760 and 58767