What is the Greatest Common Factor of 48132 and 48146?

Greatest common factor (GCF) of 48132 and 48146 is 14.

GCF(48132,48146) = 14

We will now calculate the prime factors of 48132 and 48146, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48132 and 48146.

How to find the GCF of 48132 and 48146?

We will first find the prime factorization of 48132 and 48146. After we will calculate the factors of 48132 and 48146 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 48146

Prime factors of 48146 are 2, 7, 19, 181. Prime factorization of 48146 in exponential form is:

48146 = 2¹ × 7¹ × 19¹ × 181¹

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 48146

List of positive integer factors of 48146 that divides 48132 without a remainder.

1, 2, 7, 14, 19, 38, 133, 181, 266, 362, 1267, 2534, 3439, 6878, 24073

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48132 and 48146. The biggest common factor number is the GCF number.
So the greatest common factor 48132 and 48146 is 14.

Also check out the Least Common Multiple of 48132 and 48146