What is the Greatest Common Factor of 59721 and 59727?

Greatest common factor (GCF) of 59721 and 59727 is 3.

GCF(59721,59727) = 3

We will now calculate the prime factors of 59721 and 59727, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59721 and 59727.

How to find the GCF of 59721 and 59727?

We will first find the prime factorization of 59721 and 59727. After we will calculate the factors of 59721 and 59727 and find the biggest common factor number .

Step-1: Prime Factorization of 59721

Prime factors of 59721 are 3, 17, 1171. Prime factorization of 59721 in exponential form is:

59721 = 3¹ × 17¹ × 1171¹

Step-2: Prime Factorization of 59727

Prime factors of 59727 are 3, 43, 463. Prime factorization of 59727 in exponential form is:

59727 = 3¹ × 43¹ × 463¹

Step-3: Factors of 59721

List of positive integer factors of 59721 that divides 59721 without a remainder.

1, 3, 17, 51, 1171, 3513, 19907

Step-4: Factors of 59727

List of positive integer factors of 59727 that divides 59721 without a remainder.

1, 3, 43, 129, 463, 1389, 19909

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59721 and 59727. The biggest common factor number is the GCF number.
So the greatest common factor 59721 and 59727 is 3.

Also check out the Least Common Multiple of 59721 and 59727