What is the Greatest Common Factor of 58692 and 58700?

Greatest common factor (GCF) of 58692 and 58700 is 4.

GCF(58692,58700) = 4

We will now calculate the prime factors of 58692 and 58700, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58692 and 58700.

How to find the GCF of 58692 and 58700?

We will first find the prime factorization of 58692 and 58700. After we will calculate the factors of 58692 and 58700 and find the biggest common factor number .

Step-1: Prime Factorization of 58692

Prime factors of 58692 are 2, 3, 67, 73. Prime factorization of 58692 in exponential form is:

58692 = 2² × 3¹ × 67¹ × 73¹

Step-2: Prime Factorization of 58700

Prime factors of 58700 are 2, 5, 587. Prime factorization of 58700 in exponential form is:

58700 = 2² × 5² × 587¹

Step-3: Factors of 58692

List of positive integer factors of 58692 that divides 58692 without a remainder.

1, 2, 3, 4, 6, 12, 67, 73, 134, 146, 201, 219, 268, 292, 402, 438, 804, 876, 4891, 9782, 14673, 19564, 29346

Step-4: Factors of 58700

List of positive integer factors of 58700 that divides 58692 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 587, 1174, 2348, 2935, 5870, 11740, 14675, 29350

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58692 and 58700. The biggest common factor number is the GCF number.
So the greatest common factor 58692 and 58700 is 4.

Also check out the Least Common Multiple of 58692 and 58700