What is the Greatest Common Factor of 49184 and 49188?

Greatest common factor (GCF) of 49184 and 49188 is 4.

GCF(49184,49188) = 4

We will now calculate the prime factors of 49184 and 49188, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49184 and 49188.

How to find the GCF of 49184 and 49188?

We will first find the prime factorization of 49184 and 49188. After we will calculate the factors of 49184 and 49188 and find the biggest common factor number .

Step-1: Prime Factorization of 49184

Prime factors of 49184 are 2, 29, 53. Prime factorization of 49184 in exponential form is:

49184 = 2⁵ × 29¹ × 53¹

Step-2: Prime Factorization of 49188

Prime factors of 49188 are 2, 3, 4099. Prime factorization of 49188 in exponential form is:

49188 = 2² × 3¹ × 4099¹

Step-3: Factors of 49184

List of positive integer factors of 49184 that divides 49184 without a remainder.

1, 2, 4, 8, 16, 29, 32, 53, 58, 106, 116, 212, 232, 424, 464, 848, 928, 1537, 1696, 3074, 6148, 12296, 24592

Step-4: Factors of 49188

List of positive integer factors of 49188 that divides 49184 without a remainder.

1, 2, 3, 4, 6, 12, 4099, 8198, 12297, 16396, 24594

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49184 and 49188. The biggest common factor number is the GCF number.
So the greatest common factor 49184 and 49188 is 4.

Also check out the Least Common Multiple of 49184 and 49188