What is the Greatest Common Factor of 48136 and 48147?

Greatest common factor (GCF) of 48136 and 48147 is 11.

GCF(48136,48147) = 11

We will now calculate the prime factors of 48136 and 48147, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48136 and 48147.

How to find the GCF of 48136 and 48147?

We will first find the prime factorization of 48136 and 48147. After we will calculate the factors of 48136 and 48147 and find the biggest common factor number .

Step-1: Prime Factorization of 48136

Prime factors of 48136 are 2, 11, 547. Prime factorization of 48136 in exponential form is:

48136 = 2³ × 11¹ × 547¹

Step-2: Prime Factorization of 48147

Prime factors of 48147 are 3, 11, 1459. Prime factorization of 48147 in exponential form is:

48147 = 3¹ × 11¹ × 1459¹

Step-3: Factors of 48136

List of positive integer factors of 48136 that divides 48136 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 547, 1094, 2188, 4376, 6017, 12034, 24068

Step-4: Factors of 48147

List of positive integer factors of 48147 that divides 48136 without a remainder.

1, 3, 11, 33, 1459, 4377, 16049

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48136 and 48147. The biggest common factor number is the GCF number.
So the greatest common factor 48136 and 48147 is 11.

Also check out the Least Common Multiple of 48136 and 48147