What is the Greatest Common Factor of 708 and 726?

Greatest common factor (GCF) of 708 and 726 is 6.

GCF(708,726) = 6

We will now calculate the prime factors of 708 and 726, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 708 and 726.

How to find the GCF of 708 and 726?

We will first find the prime factorization of 708 and 726. After we will calculate the factors of 708 and 726 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 726

Prime factors of 726 are 2, 3, 11. Prime factorization of 726 in exponential form is:

726 = 2¹ × 3¹ × 11²

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 726

List of positive integer factors of 726 that divides 708 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 708 and 726. The biggest common factor number is the GCF number.
So the greatest common factor 708 and 726 is 6.

Also check out the Least Common Multiple of 708 and 726