What is the Greatest Common Factor of 49144 and 49164?

Greatest common factor (GCF) of 49144 and 49164 is 4.

GCF(49144,49164) = 4

We will now calculate the prime factors of 49144 and 49164, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49144 and 49164.

How to find the GCF of 49144 and 49164?

We will first find the prime factorization of 49144 and 49164. After we will calculate the factors of 49144 and 49164 and find the biggest common factor number .

Step-1: Prime Factorization of 49144

Prime factors of 49144 are 2, 6143. Prime factorization of 49144 in exponential form is:

49144 = 2³ × 6143¹

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 49144

List of positive integer factors of 49144 that divides 49144 without a remainder.

1, 2, 4, 8, 6143, 12286, 24572

Step-4: Factors of 49164

List of positive integer factors of 49164 that divides 49144 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 49144 and 49164. The biggest common factor number is the GCF number.
So the greatest common factor 49144 and 49164 is 4.

Also check out the Least Common Multiple of 49144 and 49164