What is the Greatest Common Factor of 48146 and 48164?

Greatest common factor (GCF) of 48146 and 48164 is 2.

GCF(48146,48164) = 2

We will now calculate the prime factors of 48146 and 48164, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48146 and 48164.

How to find the GCF of 48146 and 48164?

We will first find the prime factorization of 48146 and 48164. After we will calculate the factors of 48146 and 48164 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 48164

Prime factors of 48164 are 2, 12041. Prime factorization of 48164 in exponential form is:

48164 = 2² × 12041¹

Step-3: Factors of 48146

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

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

Step-4: Factors of 48164

List of positive integer factors of 48164 that divides 48146 without a remainder.

1, 2, 4, 12041, 24082

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48146 and 48164. The biggest common factor number is the GCF number.
So the greatest common factor 48146 and 48164 is 2.

Also check out the Least Common Multiple of 48146 and 48164