What is the Greatest Common Factor of 49176 and 49184?

Greatest common factor (GCF) of 49176 and 49184 is 8.

GCF(49176,49184) = 8

We will now calculate the prime factors of 49176 and 49184, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49176 and 49184.

How to find the GCF of 49176 and 49184?

We will first find the prime factorization of 49176 and 49184. After we will calculate the factors of 49176 and 49184 and find the biggest common factor number .

Step-1: Prime Factorization of 49176

Prime factors of 49176 are 2, 3, 683. Prime factorization of 49176 in exponential form is:

49176 = 2³ × 3² × 683¹

Step-2: 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-3: Factors of 49176

List of positive integer factors of 49176 that divides 49176 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 683, 1366, 2049, 2732, 4098, 5464, 6147, 8196, 12294, 16392, 24588

Step-4: Factors of 49184

List of positive integer factors of 49184 that divides 49176 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49176 and 49184. The biggest common factor number is the GCF number.
So the greatest common factor 49176 and 49184 is 8.

Also check out the Least Common Multiple of 49176 and 49184