What is the Greatest Common Factor of 48739 and 48756?

Greatest common factor (GCF) of 48739 and 48756 is 17.

GCF(48739,48756) = 17

We will now calculate the prime factors of 48739 and 48756, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48739 and 48756.

How to find the GCF of 48739 and 48756?

We will first find the prime factorization of 48739 and 48756. After we will calculate the factors of 48739 and 48756 and find the biggest common factor number .

Step-1: Prime Factorization of 48739

Prime factors of 48739 are 17, 47, 61. Prime factorization of 48739 in exponential form is:

48739 = 17¹ × 47¹ × 61¹

Step-2: Prime Factorization of 48756

Prime factors of 48756 are 2, 3, 17, 239. Prime factorization of 48756 in exponential form is:

48756 = 2² × 3¹ × 17¹ × 239¹

Step-3: Factors of 48739

List of positive integer factors of 48739 that divides 48739 without a remainder.

1, 17, 47, 61, 799, 1037, 2867

Step-4: Factors of 48756

List of positive integer factors of 48756 that divides 48739 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204, 239, 478, 717, 956, 1434, 2868, 4063, 8126, 12189, 16252, 24378

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48739 and 48756. The biggest common factor number is the GCF number.
So the greatest common factor 48739 and 48756 is 17.

Also check out the Least Common Multiple of 48739 and 48756