What is the Greatest Common Factor of 49164 and 49181?

Greatest common factor (GCF) of 49164 and 49181 is 17.

GCF(49164,49181) = 17

We will now calculate the prime factors of 49164 and 49181, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49164 and 49181.

How to find the GCF of 49164 and 49181?

We will first find the prime factorization of 49164 and 49181. After we will calculate the factors of 49164 and 49181 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 49181

Prime factors of 49181 are 11, 17, 263. Prime factorization of 49181 in exponential form is:

49181 = 11¹ × 17¹ × 263¹

Step-3: Factors of 49164

List of positive integer factors of 49164 that divides 49164 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

Step-4: Factors of 49181

List of positive integer factors of 49181 that divides 49164 without a remainder.

1, 11, 17, 187, 263, 2893, 4471

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49164 and 49181. The biggest common factor number is the GCF number.
So the greatest common factor 49164 and 49181 is 17.

Also check out the Least Common Multiple of 49164 and 49181