What is the Greatest Common Factor of 49184 and 49204?

Greatest common factor (GCF) of 49184 and 49204 is 4.

GCF(49184,49204) = 4

We will now calculate the prime factors of 49184 and 49204, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49184 and 49204.

How to find the GCF of 49184 and 49204?

We will first find the prime factorization of 49184 and 49204. After we will calculate the factors of 49184 and 49204 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 49204

Prime factors of 49204 are 2, 12301. Prime factorization of 49204 in exponential form is:

49204 = 2² × 12301¹

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 49204

List of positive integer factors of 49204 that divides 49184 without a remainder.

1, 2, 4, 12301, 24602

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49184 and 49204. The biggest common factor number is the GCF number.
So the greatest common factor 49184 and 49204 is 4.

Also check out the Least Common Multiple of 49184 and 49204