What is the Greatest Common Factor of 49692 and 49696?

Greatest common factor (GCF) of 49692 and 49696 is 4.

GCF(49692,49696) = 4

We will now calculate the prime factors of 49692 and 49696, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49692 and 49696.

How to find the GCF of 49692 and 49696?

We will first find the prime factorization of 49692 and 49696. After we will calculate the factors of 49692 and 49696 and find the biggest common factor number .

Step-1: Prime Factorization of 49692

Prime factors of 49692 are 2, 3, 41, 101. Prime factorization of 49692 in exponential form is:

49692 = 2² × 3¹ × 41¹ × 101¹

Step-2: Prime Factorization of 49696

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

49696 = 2⁵ × 1553¹

Step-3: Factors of 49692

List of positive integer factors of 49692 that divides 49692 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 101, 123, 164, 202, 246, 303, 404, 492, 606, 1212, 4141, 8282, 12423, 16564, 24846

Step-4: Factors of 49696

List of positive integer factors of 49696 that divides 49692 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49692 and 49696. The biggest common factor number is the GCF number.
So the greatest common factor 49692 and 49696 is 4.

Also check out the Least Common Multiple of 49692 and 49696