What is the Greatest Common Factor of 49696 and 49708?

Greatest common factor (GCF) of 49696 and 49708 is 4.

GCF(49696,49708) = 4

We will now calculate the prime factors of 49696 and 49708, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49696 and 49708.

How to find the GCF of 49696 and 49708?

We will first find the prime factorization of 49696 and 49708. After we will calculate the factors of 49696 and 49708 and find the biggest common factor number .

Step-1: Prime Factorization of 49696

Prime factors of 49696 are 2, 1553. Prime factorization of 49696 in exponential form is:

49696 = 2⁵ × 1553¹

Step-2: Prime Factorization of 49708

Prime factors of 49708 are 2, 17, 43. Prime factorization of 49708 in exponential form is:

49708 = 2² × 17² × 43¹

Step-3: Factors of 49696

List of positive integer factors of 49696 that divides 49696 without a remainder.

1, 2, 4, 8, 16, 32, 1553, 3106, 6212, 12424, 24848

Step-4: Factors of 49708

List of positive integer factors of 49708 that divides 49696 without a remainder.

1, 2, 4, 17, 34, 43, 68, 86, 172, 289, 578, 731, 1156, 1462, 2924, 12427, 24854

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49696 and 49708. The biggest common factor number is the GCF number.
So the greatest common factor 49696 and 49708 is 4.

Also check out the Least Common Multiple of 49696 and 49708