What is the Greatest Common Factor of 48711 and 48724?

Greatest common factor (GCF) of 48711 and 48724 is 13.

GCF(48711,48724) = 13

We will now calculate the prime factors of 48711 and 48724, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48711 and 48724.

How to find the GCF of 48711 and 48724?

We will first find the prime factorization of 48711 and 48724. After we will calculate the factors of 48711 and 48724 and find the biggest common factor number .

Step-1: Prime Factorization of 48711

Prime factors of 48711 are 3, 13, 1249. Prime factorization of 48711 in exponential form is:

48711 = 3¹ × 13¹ × 1249¹

Step-2: Prime Factorization of 48724

Prime factors of 48724 are 2, 13, 937. Prime factorization of 48724 in exponential form is:

48724 = 2² × 13¹ × 937¹

Step-3: Factors of 48711

List of positive integer factors of 48711 that divides 48711 without a remainder.

1, 3, 13, 39, 1249, 3747, 16237

Step-4: Factors of 48724

List of positive integer factors of 48724 that divides 48711 without a remainder.

1, 2, 4, 13, 26, 52, 937, 1874, 3748, 12181, 24362

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48711 and 48724. The biggest common factor number is the GCF number.
So the greatest common factor 48711 and 48724 is 13.

Also check out the Least Common Multiple of 48711 and 48724