What is the Greatest Common Factor of 49138 and 49148?

Greatest common factor (GCF) of 49138 and 49148 is 2.

GCF(49138,49148) = 2

We will now calculate the prime factors of 49138 and 49148, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49138 and 49148.

How to find the GCF of 49138 and 49148?

We will first find the prime factorization of 49138 and 49148. After we will calculate the factors of 49138 and 49148 and find the biggest common factor number .

Step-1: Prime Factorization of 49138

Prime factors of 49138 are 2, 79, 311. Prime factorization of 49138 in exponential form is:

49138 = 2¹ × 79¹ × 311¹

Step-2: Prime Factorization of 49148

Prime factors of 49148 are 2, 11, 1117. Prime factorization of 49148 in exponential form is:

49148 = 2² × 11¹ × 1117¹

Step-3: Factors of 49138

List of positive integer factors of 49138 that divides 49138 without a remainder.

1, 2, 79, 158, 311, 622, 24569

Step-4: Factors of 49148

List of positive integer factors of 49148 that divides 49138 without a remainder.

1, 2, 4, 11, 22, 44, 1117, 2234, 4468, 12287, 24574

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49138 and 49148. The biggest common factor number is the GCF number.
So the greatest common factor 49138 and 49148 is 2.

Also check out the Least Common Multiple of 49138 and 49148