What is the Greatest Common Factor of 49175 and 49180?

Greatest common factor (GCF) of 49175 and 49180 is 5.

GCF(49175,49180) = 5

We will now calculate the prime factors of 49175 and 49180, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49175 and 49180.

How to find the GCF of 49175 and 49180?

We will first find the prime factorization of 49175 and 49180. After we will calculate the factors of 49175 and 49180 and find the biggest common factor number .

Step-1: Prime Factorization of 49175

Prime factors of 49175 are 5, 7, 281. Prime factorization of 49175 in exponential form is:

49175 = 5² × 7¹ × 281¹

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 49175

List of positive integer factors of 49175 that divides 49175 without a remainder.

1, 5, 7, 25, 35, 175, 281, 1405, 1967, 7025, 9835

Step-4: Factors of 49180

List of positive integer factors of 49180 that divides 49175 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 49175 and 49180. The biggest common factor number is the GCF number.
So the greatest common factor 49175 and 49180 is 5.

Also check out the Least Common Multiple of 49175 and 49180