What is the Greatest Common Factor of 59712 and 59721?

Greatest common factor (GCF) of 59712 and 59721 is 3.

GCF(59712,59721) = 3

We will now calculate the prime factors of 59712 and 59721, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59712 and 59721.

How to find the GCF of 59712 and 59721?

We will first find the prime factorization of 59712 and 59721. After we will calculate the factors of 59712 and 59721 and find the biggest common factor number .

Step-1: Prime Factorization of 59712

Prime factors of 59712 are 2, 3, 311. Prime factorization of 59712 in exponential form is:

59712 = 2⁶ × 3¹ × 311¹

Step-2: 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-3: Factors of 59712

List of positive integer factors of 59712 that divides 59712 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192, 311, 622, 933, 1244, 1866, 2488, 3732, 4976, 7464, 9952, 14928, 19904, 29856

Step-4: Factors of 59721

List of positive integer factors of 59721 that divides 59712 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59712 and 59721. The biggest common factor number is the GCF number.
So the greatest common factor 59712 and 59721 is 3.

Also check out the Least Common Multiple of 59712 and 59721