What is the Greatest Common Factor of 84708 and 84726?

Greatest common factor (GCF) of 84708 and 84726 is 18.

GCF(84708,84726) = 18

We will now calculate the prime factors of 84708 and 84726, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84708 and 84726.

How to find the GCF of 84708 and 84726?

We will first find the prime factorization of 84708 and 84726. After we will calculate the factors of 84708 and 84726 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 84726

Prime factors of 84726 are 2, 3, 523. Prime factorization of 84726 in exponential form is:

84726 = 2¹ × 3⁴ × 523¹

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 84726

List of positive integer factors of 84726 that divides 84708 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 523, 1046, 1569, 3138, 4707, 9414, 14121, 28242, 42363

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84708 and 84726. The biggest common factor number is the GCF number.
So the greatest common factor 84708 and 84726 is 18.

Also check out the Least Common Multiple of 84708 and 84726