What is the Greatest Common Factor of 48126 and 48139?

Greatest common factor (GCF) of 48126 and 48139 is 13.

GCF(48126,48139) = 13

We will now calculate the prime factors of 48126 and 48139, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48126 and 48139.

How to find the GCF of 48126 and 48139?

We will first find the prime factorization of 48126 and 48139. After we will calculate the factors of 48126 and 48139 and find the biggest common factor number .

Step-1: Prime Factorization of 48126

Prime factors of 48126 are 2, 3, 13, 617. Prime factorization of 48126 in exponential form is:

48126 = 2¹ × 3¹ × 13¹ × 617¹

Step-2: 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-3: Factors of 48126

List of positive integer factors of 48126 that divides 48126 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 617, 1234, 1851, 3702, 8021, 16042, 24063

Step-4: Factors of 48139

List of positive integer factors of 48139 that divides 48126 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48126 and 48139. The biggest common factor number is the GCF number.
So the greatest common factor 48126 and 48139 is 13.

Also check out the Least Common Multiple of 48126 and 48139