What is the Greatest Common Factor of 49696 and 49712?

Greatest common factor (GCF) of 49696 and 49712 is 16.

GCF(49696,49712) = 16

We will now calculate the prime factors of 49696 and 49712, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49696 and 49712.

How to find the GCF of 49696 and 49712?

We will first find the prime factorization of 49696 and 49712. After we will calculate the factors of 49696 and 49712 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 49712

Prime factors of 49712 are 2, 13, 239. Prime factorization of 49712 in exponential form is:

49712 = 2⁴ × 13¹ × 239¹

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 49712

List of positive integer factors of 49712 that divides 49696 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208, 239, 478, 956, 1912, 3107, 3824, 6214, 12428, 24856

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49696 and 49712. The biggest common factor number is the GCF number.
So the greatest common factor 49696 and 49712 is 16.

Also check out the Least Common Multiple of 49696 and 49712