What is the Greatest Common Factor of 58660 and 58667?

Greatest common factor (GCF) of 58660 and 58667 is 7.

GCF(58660,58667) = 7

We will now calculate the prime factors of 58660 and 58667, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58660 and 58667.

How to find the GCF of 58660 and 58667?

We will first find the prime factorization of 58660 and 58667. After we will calculate the factors of 58660 and 58667 and find the biggest common factor number .

Step-1: Prime Factorization of 58660

Prime factors of 58660 are 2, 5, 7, 419. Prime factorization of 58660 in exponential form is:

58660 = 2² × 5¹ × 7¹ × 419¹

Step-2: Prime Factorization of 58667

Prime factors of 58667 are 7, 17, 29. Prime factorization of 58667 in exponential form is:

58667 = 7¹ × 17² × 29¹

Step-3: Factors of 58660

List of positive integer factors of 58660 that divides 58660 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 419, 838, 1676, 2095, 2933, 4190, 5866, 8380, 11732, 14665, 29330

Step-4: Factors of 58667

List of positive integer factors of 58667 that divides 58660 without a remainder.

1, 7, 17, 29, 119, 203, 289, 493, 2023, 3451, 8381

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58660 and 58667. The biggest common factor number is the GCF number.
So the greatest common factor 58660 and 58667 is 7.

Also check out the Least Common Multiple of 58660 and 58667