What is the Greatest Common Factor of 49600 and 49610?

Greatest common factor (GCF) of 49600 and 49610 is 10.

GCF(49600,49610) = 10

We will now calculate the prime factors of 49600 and 49610, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49600 and 49610.

How to find the GCF of 49600 and 49610?

We will first find the prime factorization of 49600 and 49610. After we will calculate the factors of 49600 and 49610 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 49610

Prime factors of 49610 are 2, 5, 11, 41. Prime factorization of 49610 in exponential form is:

49610 = 2¹ × 5¹ × 11² × 41¹

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 49610

List of positive integer factors of 49610 that divides 49600 without a remainder.

1, 2, 5, 10, 11, 22, 41, 55, 82, 110, 121, 205, 242, 410, 451, 605, 902, 1210, 2255, 4510, 4961, 9922, 24805

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49600 and 49610. The biggest common factor number is the GCF number.
So the greatest common factor 49600 and 49610 is 10.

Also check out the Least Common Multiple of 49600 and 49610