What is the Greatest Common Factor of 48708 and 48726?

Greatest common factor (GCF) of 48708 and 48726 is 18.

GCF(48708,48726) = 18

We will now calculate the prime factors of 48708 and 48726, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48708 and 48726.

How to find the GCF of 48708 and 48726?

We will first find the prime factorization of 48708 and 48726. After we will calculate the factors of 48708 and 48726 and find the biggest common factor number .

Step-1: Prime Factorization of 48708

Prime factors of 48708 are 2, 3, 11, 41. Prime factorization of 48708 in exponential form is:

48708 = 2² × 3³ × 11¹ × 41¹

Step-2: Prime Factorization of 48726

Prime factors of 48726 are 2, 3, 2707. Prime factorization of 48726 in exponential form is:

48726 = 2¹ × 3² × 2707¹

Step-3: Factors of 48708

List of positive integer factors of 48708 that divides 48708 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 27, 33, 36, 41, 44, 54, 66, 82, 99, 108, 123, 132, 164, 198, 246, 297, 369, 396, 451, 492, 594, 738, 902, 1107, 1188, 1353, 1476, 1804, 2214, 2706, 4059, 4428, 5412, 8118, 12177, 16236, 24354

Step-4: Factors of 48726

List of positive integer factors of 48726 that divides 48708 without a remainder.

1, 2, 3, 6, 9, 18, 2707, 5414, 8121, 16242, 24363

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48708 and 48726. The biggest common factor number is the GCF number.
So the greatest common factor 48708 and 48726 is 18.

Also check out the Least Common Multiple of 48708 and 48726