What is the Greatest Common Factor of 58707 and 58722?

Greatest common factor (GCF) of 58707 and 58722 is 3.

GCF(58707,58722) = 3

We will now calculate the prime factors of 58707 and 58722, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58707 and 58722.

How to find the GCF of 58707 and 58722?

We will first find the prime factorization of 58707 and 58722. After we will calculate the factors of 58707 and 58722 and find the biggest common factor number .

Step-1: Prime Factorization of 58707

Prime factors of 58707 are 3, 11, 593. Prime factorization of 58707 in exponential form is:

58707 = 3² × 11¹ × 593¹

Step-2: Prime Factorization of 58722

Prime factors of 58722 are 2, 3, 9787. Prime factorization of 58722 in exponential form is:

58722 = 2¹ × 3¹ × 9787¹

Step-3: Factors of 58707

List of positive integer factors of 58707 that divides 58707 without a remainder.

1, 3, 9, 11, 33, 99, 593, 1779, 5337, 6523, 19569

Step-4: Factors of 58722

List of positive integer factors of 58722 that divides 58707 without a remainder.

1, 2, 3, 6, 9787, 19574, 29361

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58707 and 58722. The biggest common factor number is the GCF number.
So the greatest common factor 58707 and 58722 is 3.

Also check out the Least Common Multiple of 58707 and 58722