What is the Greatest Common Factor of 61150 and 61165?

Greatest common factor (GCF) of 61150 and 61165 is 5.

GCF(61150,61165) = 5

We will now calculate the prime factors of 61150 and 61165, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61150 and 61165.

How to find the GCF of 61150 and 61165?

We will first find the prime factorization of 61150 and 61165. After we will calculate the factors of 61150 and 61165 and find the biggest common factor number .

Step-1: Prime Factorization of 61150

Prime factors of 61150 are 2, 5, 1223. Prime factorization of 61150 in exponential form is:

61150 = 2¹ × 5² × 1223¹

Step-2: Prime Factorization of 61165

Prime factors of 61165 are 5, 13, 941. Prime factorization of 61165 in exponential form is:

61165 = 5¹ × 13¹ × 941¹

Step-3: Factors of 61150

List of positive integer factors of 61150 that divides 61150 without a remainder.

1, 2, 5, 10, 25, 50, 1223, 2446, 6115, 12230, 30575

Step-4: Factors of 61165

List of positive integer factors of 61165 that divides 61150 without a remainder.

1, 5, 13, 65, 941, 4705, 12233

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61150 and 61165. The biggest common factor number is the GCF number.
So the greatest common factor 61150 and 61165 is 5.

Also check out the Least Common Multiple of 61150 and 61165