What is the Greatest Common Factor of 49648 and 49656?

Greatest common factor (GCF) of 49648 and 49656 is 8.

GCF(49648,49656) = 8

We will now calculate the prime factors of 49648 and 49656, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49648 and 49656.

How to find the GCF of 49648 and 49656?

We will first find the prime factorization of 49648 and 49656. After we will calculate the factors of 49648 and 49656 and find the biggest common factor number .

Step-1: Prime Factorization of 49648

Prime factors of 49648 are 2, 29, 107. Prime factorization of 49648 in exponential form is:

49648 = 2⁴ × 29¹ × 107¹

Step-2: Prime Factorization of 49656

Prime factors of 49656 are 2, 3, 2069. Prime factorization of 49656 in exponential form is:

49656 = 2³ × 3¹ × 2069¹

Step-3: Factors of 49648

List of positive integer factors of 49648 that divides 49648 without a remainder.

1, 2, 4, 8, 16, 29, 58, 107, 116, 214, 232, 428, 464, 856, 1712, 3103, 6206, 12412, 24824

Step-4: Factors of 49656

List of positive integer factors of 49656 that divides 49648 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2069, 4138, 6207, 8276, 12414, 16552, 24828

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49648 and 49656. The biggest common factor number is the GCF number.
So the greatest common factor 49648 and 49656 is 8.

Also check out the Least Common Multiple of 49648 and 49656