What is the Greatest Common Factor of 49392 and 49406?

Greatest common factor (GCF) of 49392 and 49406 is 14.

GCF(49392,49406) = 14

We will now calculate the prime factors of 49392 and 49406, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49392 and 49406.

How to find the GCF of 49392 and 49406?

We will first find the prime factorization of 49392 and 49406. After we will calculate the factors of 49392 and 49406 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 49406

Prime factors of 49406 are 2, 7, 3529. Prime factorization of 49406 in exponential form is:

49406 = 2¹ × 7¹ × 3529¹

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 49406

List of positive integer factors of 49406 that divides 49392 without a remainder.

1, 2, 7, 14, 3529, 7058, 24703

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49392 and 49406. The biggest common factor number is the GCF number.
So the greatest common factor 49392 and 49406 is 14.

Also check out the Least Common Multiple of 49392 and 49406