What is the Greatest Common Factor of 58765 and 58772?

Greatest common factor (GCF) of 58765 and 58772 is 7.

GCF(58765,58772) = 7

We will now calculate the prime factors of 58765 and 58772, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58765 and 58772.

How to find the GCF of 58765 and 58772?

We will first find the prime factorization of 58765 and 58772. After we will calculate the factors of 58765 and 58772 and find the biggest common factor number .

Step-1: Prime Factorization of 58765

Prime factors of 58765 are 5, 7, 23, 73. Prime factorization of 58765 in exponential form is:

58765 = 5¹ × 7¹ × 23¹ × 73¹

Step-2: Prime Factorization of 58772

Prime factors of 58772 are 2, 7, 2099. Prime factorization of 58772 in exponential form is:

58772 = 2² × 7¹ × 2099¹

Step-3: Factors of 58765

List of positive integer factors of 58765 that divides 58765 without a remainder.

1, 5, 7, 23, 35, 73, 115, 161, 365, 511, 805, 1679, 2555, 8395, 11753

Step-4: Factors of 58772

List of positive integer factors of 58772 that divides 58765 without a remainder.

1, 2, 4, 7, 14, 28, 2099, 4198, 8396, 14693, 29386

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58765 and 58772. The biggest common factor number is the GCF number.
So the greatest common factor 58765 and 58772 is 7.

Also check out the Least Common Multiple of 58765 and 58772