What is the Greatest Common Factor of 48132 and 48136?

Greatest common factor (GCF) of 48132 and 48136 is 4.

GCF(48132,48136) = 4

We will now calculate the prime factors of 48132 and 48136, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48132 and 48136.

How to find the GCF of 48132 and 48136?

We will first find the prime factorization of 48132 and 48136. After we will calculate the factors of 48132 and 48136 and find the biggest common factor number .

Step-1: Prime Factorization of 48132

Prime factors of 48132 are 2, 3, 7, 191. Prime factorization of 48132 in exponential form is:

48132 = 2² × 3² × 7¹ × 191¹

Step-2: 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-3: Factors of 48132

List of positive integer factors of 48132 that divides 48132 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 191, 252, 382, 573, 764, 1146, 1337, 1719, 2292, 2674, 3438, 4011, 5348, 6876, 8022, 12033, 16044, 24066

Step-4: Factors of 48136

List of positive integer factors of 48136 that divides 48132 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48132 and 48136. The biggest common factor number is the GCF number.
So the greatest common factor 48132 and 48136 is 4.

Also check out the Least Common Multiple of 48132 and 48136