What is the Greatest Common Factor of 84708 and 84724?

Greatest common factor (GCF) of 84708 and 84724 is 4.

GCF(84708,84724) = 4

We will now calculate the prime factors of 84708 and 84724, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84708 and 84724.

How to find the GCF of 84708 and 84724?

We will first find the prime factorization of 84708 and 84724. After we will calculate the factors of 84708 and 84724 and find the biggest common factor number .

Step-1: Prime Factorization of 84708

Prime factors of 84708 are 2, 3, 13, 181. Prime factorization of 84708 in exponential form is:

84708 = 2² × 3² × 13¹ × 181¹

Step-2: Prime Factorization of 84724

Prime factors of 84724 are 2, 59, 359. Prime factorization of 84724 in exponential form is:

84724 = 2² × 59¹ × 359¹

Step-3: Factors of 84708

List of positive integer factors of 84708 that divides 84708 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 181, 234, 362, 468, 543, 724, 1086, 1629, 2172, 2353, 3258, 4706, 6516, 7059, 9412, 14118, 21177, 28236, 42354

Step-4: Factors of 84724

List of positive integer factors of 84724 that divides 84708 without a remainder.

1, 2, 4, 59, 118, 236, 359, 718, 1436, 21181, 42362

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84708 and 84724. The biggest common factor number is the GCF number.
So the greatest common factor 84708 and 84724 is 4.

Also check out the Least Common Multiple of 84708 and 84724