What is the Greatest Common Factor of 49600 and 49613?

Greatest common factor (GCF) of 49600 and 49613 is 1.

GCF(49600,49613) = 1

We will now calculate the prime factors of 49600 and 49613, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49600 and 49613.

How to find the GCF of 49600 and 49613?

We will first find the prime factorization of 49600 and 49613. After we will calculate the factors of 49600 and 49613 and find the biggest common factor number .

Step-1: Prime Factorization of 49600

Prime factors of 49600 are 2, 5, 31. Prime factorization of 49600 in exponential form is:

49600 = 2⁶ × 5² × 31¹

Step-2: Prime Factorization of 49613

Prime factors of 49613 are 49613. Prime factorization of 49613 in exponential form is:

49613 = 49613¹

Step-3: Factors of 49600

List of positive integer factors of 49600 that divides 49600 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 31, 32, 40, 50, 62, 64, 80, 100, 124, 155, 160, 200, 248, 310, 320, 400, 496, 620, 775, 800, 992, 1240, 1550, 1600, 1984, 2480, 3100, 4960, 6200, 9920, 12400, 24800

Step-4: Factors of 49613

List of positive integer factors of 49613 that divides 49600 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49600 and 49613. The biggest common factor number is the GCF number.
So the greatest common factor 49600 and 49613 is 1.

Also check out the Least Common Multiple of 49600 and 49613