What is the Greatest Common Factor of 49696 and 49710?

Greatest common factor (GCF) of 49696 and 49710 is 2.

GCF(49696,49710) = 2

We will now calculate the prime factors of 49696 and 49710, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49696 and 49710.

How to find the GCF of 49696 and 49710?

We will first find the prime factorization of 49696 and 49710. After we will calculate the factors of 49696 and 49710 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 49710

Prime factors of 49710 are 2, 3, 5, 1657. Prime factorization of 49710 in exponential form is:

49710 = 2¹ × 3¹ × 5¹ × 1657¹

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 49710

List of positive integer factors of 49710 that divides 49696 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1657, 3314, 4971, 8285, 9942, 16570, 24855

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49696 and 49710. The biggest common factor number is the GCF number.
So the greatest common factor 49696 and 49710 is 2.

Also check out the Least Common Multiple of 49696 and 49710