What is the Greatest Common Factor of 49408 and 49414?

Greatest common factor (GCF) of 49408 and 49414 is 2.

GCF(49408,49414) = 2

We will now calculate the prime factors of 49408 and 49414, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49408 and 49414.

How to find the GCF of 49408 and 49414?

We will first find the prime factorization of 49408 and 49414. After we will calculate the factors of 49408 and 49414 and find the biggest common factor number .

Step-1: Prime Factorization of 49408

Prime factors of 49408 are 2, 193. Prime factorization of 49408 in exponential form is:

49408 = 2⁸ × 193¹

Step-2: Prime Factorization of 49414

Prime factors of 49414 are 2, 31, 797. Prime factorization of 49414 in exponential form is:

49414 = 2¹ × 31¹ × 797¹

Step-3: Factors of 49408

List of positive integer factors of 49408 that divides 49408 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 193, 256, 386, 772, 1544, 3088, 6176, 12352, 24704

Step-4: Factors of 49414

List of positive integer factors of 49414 that divides 49408 without a remainder.

1, 2, 31, 62, 797, 1594, 24707

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49408 and 49414. The biggest common factor number is the GCF number.
So the greatest common factor 49408 and 49414 is 2.

Also check out the Least Common Multiple of 49408 and 49414