What is the Greatest Common Factor of 708 and 720?

Greatest common factor (GCF) of 708 and 720 is 12.

GCF(708,720) = 12

We will now calculate the prime factors of 708 and 720, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 708 and 720.

How to find the GCF of 708 and 720?

We will first find the prime factorization of 708 and 720. After we will calculate the factors of 708 and 720 and find the biggest common factor number .

Step-1: Prime Factorization of 708

Prime factors of 708 are 2, 3, 59. Prime factorization of 708 in exponential form is:

708 = 2² × 3¹ × 59¹

Step-2: Prime Factorization of 720

Prime factors of 720 are 2, 3, 5. Prime factorization of 720 in exponential form is:

720 = 2⁴ × 3² × 5¹

Step-3: Factors of 708

List of positive integer factors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354

Step-4: Factors of 720

List of positive integer factors of 720 that divides 708 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 708 and 720. The biggest common factor number is the GCF number.
So the greatest common factor 708 and 720 is 12.

Also check out the Least Common Multiple of 708 and 720