What is the Greatest Common Factor of 49392 and 49412?

Greatest common factor (GCF) of 49392 and 49412 is 4.

GCF(49392,49412) = 4

We will now calculate the prime factors of 49392 and 49412, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49392 and 49412.

How to find the GCF of 49392 and 49412?

We will first find the prime factorization of 49392 and 49412. After we will calculate the factors of 49392 and 49412 and find the biggest common factor number .

Step-1: Prime Factorization of 49392

Prime factors of 49392 are 2, 3, 7. Prime factorization of 49392 in exponential form is:

49392 = 2⁴ × 3² × 7³

Step-2: Prime Factorization of 49412

Prime factors of 49412 are 2, 11, 1123. Prime factorization of 49412 in exponential form is:

49412 = 2² × 11¹ × 1123¹

Step-3: Factors of 49392

List of positive integer factors of 49392 that divides 49392 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 36, 42, 48, 49, 56, 63, 72, 84, 98, 112, 126, 144, 147, 168, 196, 252, 294, 336, 343, 392, 441, 504, 588, 686, 784, 882, 1008, 1029, 1176, 1372, 1764, 2058, 2352, 2744, 3087, 3528, 4116, 5488, 6174, 7056, 8232, 12348, 16464, 24696

Step-4: Factors of 49412

List of positive integer factors of 49412 that divides 49392 without a remainder.

1, 2, 4, 11, 22, 44, 1123, 2246, 4492, 12353, 24706

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49392 and 49412. The biggest common factor number is the GCF number.
So the greatest common factor 49392 and 49412 is 4.

Also check out the Least Common Multiple of 49392 and 49412