What is the Greatest Common Factor of 49605 and 49610?

Greatest common factor (GCF) of 49605 and 49610 is 5.

GCF(49605,49610) = 5

We will now calculate the prime factors of 49605 and 49610, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49605 and 49610.

How to find the GCF of 49605 and 49610?

We will first find the prime factorization of 49605 and 49610. After we will calculate the factors of 49605 and 49610 and find the biggest common factor number .

Step-1: Prime Factorization of 49605

Prime factors of 49605 are 3, 5, 3307. Prime factorization of 49605 in exponential form is:

49605 = 3¹ × 5¹ × 3307¹

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 49605

List of positive integer factors of 49605 that divides 49605 without a remainder.

1, 3, 5, 15, 3307, 9921, 16535

Step-4: Factors of 49610

List of positive integer factors of 49610 that divides 49605 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 49605 and 49610. The biggest common factor number is the GCF number.
So the greatest common factor 49605 and 49610 is 5.

Also check out the Least Common Multiple of 49605 and 49610