What is the Greatest Common Factor of 49165 and 49180?

Greatest common factor (GCF) of 49165 and 49180 is 5.

GCF(49165,49180) = 5

We will now calculate the prime factors of 49165 and 49180, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49165 and 49180.

How to find the GCF of 49165 and 49180?

We will first find the prime factorization of 49165 and 49180. After we will calculate the factors of 49165 and 49180 and find the biggest common factor number .

Step-1: Prime Factorization of 49165

Prime factors of 49165 are 5, 9833. Prime factorization of 49165 in exponential form is:

49165 = 5¹ × 9833¹

Step-2: Prime Factorization of 49180

Prime factors of 49180 are 2, 5, 2459. Prime factorization of 49180 in exponential form is:

49180 = 2² × 5¹ × 2459¹

Step-3: Factors of 49165

List of positive integer factors of 49165 that divides 49165 without a remainder.

1, 5, 9833

Step-4: Factors of 49180

List of positive integer factors of 49180 that divides 49165 without a remainder.

1, 2, 4, 5, 10, 20, 2459, 4918, 9836, 12295, 24590

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49165 and 49180. The biggest common factor number is the GCF number.
So the greatest common factor 49165 and 49180 is 5.

Also check out the Least Common Multiple of 49165 and 49180