What is the Greatest Common Factor of 48139 and 48152?

Greatest common factor (GCF) of 48139 and 48152 is 13.

GCF(48139,48152) = 13

We will now calculate the prime factors of 48139 and 48152, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48139 and 48152.

How to find the GCF of 48139 and 48152?

We will first find the prime factorization of 48139 and 48152. After we will calculate the factors of 48139 and 48152 and find the biggest common factor number .

Step-1: Prime Factorization of 48139

Prime factors of 48139 are 7, 13, 23. Prime factorization of 48139 in exponential form is:

48139 = 7¹ × 13¹ × 23²

Step-2: Prime Factorization of 48152

Prime factors of 48152 are 2, 13, 463. Prime factorization of 48152 in exponential form is:

48152 = 2³ × 13¹ × 463¹

Step-3: Factors of 48139

List of positive integer factors of 48139 that divides 48139 without a remainder.

1, 7, 13, 23, 91, 161, 299, 529, 2093, 3703, 6877

Step-4: Factors of 48152

List of positive integer factors of 48152 that divides 48139 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 463, 926, 1852, 3704, 6019, 12038, 24076

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48139 and 48152. The biggest common factor number is the GCF number.
So the greatest common factor 48139 and 48152 is 13.

Also check out the Least Common Multiple of 48139 and 48152