What is the Greatest Common Factor of 49148 and 49164?

Greatest common factor (GCF) of 49148 and 49164 is 4.

GCF(49148,49164) = 4

We will now calculate the prime factors of 49148 and 49164, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49148 and 49164.

How to find the GCF of 49148 and 49164?

We will first find the prime factorization of 49148 and 49164. After we will calculate the factors of 49148 and 49164 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 49164

Prime factors of 49164 are 2, 3, 17, 241. Prime factorization of 49164 in exponential form is:

49164 = 2² × 3¹ × 17¹ × 241¹

Step-3: Factors of 49148

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

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

Step-4: Factors of 49164

List of positive integer factors of 49164 that divides 49148 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204, 241, 482, 723, 964, 1446, 2892, 4097, 8194, 12291, 16388, 24582

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49148 and 49164. The biggest common factor number is the GCF number.
So the greatest common factor 49148 and 49164 is 4.

Also check out the Least Common Multiple of 49148 and 49164