What is the Greatest Common Factor of 48919 and 48932?

Greatest common factor (GCF) of 48919 and 48932 is 13.

GCF(48919,48932) = 13

We will now calculate the prime factors of 48919 and 48932, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48919 and 48932.

How to find the GCF of 48919 and 48932?

We will first find the prime factorization of 48919 and 48932. After we will calculate the factors of 48919 and 48932 and find the biggest common factor number .

Step-1: Prime Factorization of 48919

Prime factors of 48919 are 13, 53, 71. Prime factorization of 48919 in exponential form is:

48919 = 13¹ × 53¹ × 71¹

Step-2: Prime Factorization of 48932

Prime factors of 48932 are 2, 13, 941. Prime factorization of 48932 in exponential form is:

48932 = 2² × 13¹ × 941¹

Step-3: Factors of 48919

List of positive integer factors of 48919 that divides 48919 without a remainder.

1, 13, 53, 71, 689, 923, 3763

Step-4: Factors of 48932

List of positive integer factors of 48932 that divides 48919 without a remainder.

1, 2, 4, 13, 26, 52, 941, 1882, 3764, 12233, 24466

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48919 and 48932. The biggest common factor number is the GCF number.
So the greatest common factor 48919 and 48932 is 13.

Also check out the Least Common Multiple of 48919 and 48932