What is the Greatest Common Factor of 49600 and 49607?

Greatest common factor (GCF) of 49600 and 49607 is 1.

GCF(49600,49607) = 1

We will now calculate the prime factors of 49600 and 49607, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49600 and 49607.

How to find the GCF of 49600 and 49607?

We will first find the prime factorization of 49600 and 49607. After we will calculate the factors of 49600 and 49607 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 49607

Prime factors of 49607 are 113, 439. Prime factorization of 49607 in exponential form is:

49607 = 113¹ × 439¹

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 49607

List of positive integer factors of 49607 that divides 49600 without a remainder.

1, 113, 439

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49600 and 49607. The biggest common factor number is the GCF number.
So the greatest common factor 49600 and 49607 is 1.

Also check out the Least Common Multiple of 49600 and 49607