What is the Greatest Common Factor of 49259 and 49275?

Greatest common factor (GCF) of 49259 and 49275 is 1.

GCF(49259,49275) = 1

We will now calculate the prime factors of 49259 and 49275, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49259 and 49275.

How to find the GCF of 49259 and 49275?

We will first find the prime factorization of 49259 and 49275. After we will calculate the factors of 49259 and 49275 and find the biggest common factor number .

Step-1: Prime Factorization of 49259

Prime factors of 49259 are 7, 31, 227. Prime factorization of 49259 in exponential form is:

49259 = 7¹ × 31¹ × 227¹

Step-2: Prime Factorization of 49275

Prime factors of 49275 are 3, 5, 73. Prime factorization of 49275 in exponential form is:

49275 = 3³ × 5² × 73¹

Step-3: Factors of 49259

List of positive integer factors of 49259 that divides 49259 without a remainder.

1, 7, 31, 217, 227, 1589, 7037

Step-4: Factors of 49275

List of positive integer factors of 49275 that divides 49259 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 73, 75, 135, 219, 225, 365, 657, 675, 1095, 1825, 1971, 3285, 5475, 9855, 16425

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49259 and 49275. The biggest common factor number is the GCF number.
So the greatest common factor 49259 and 49275 is 1.

Also check out the Least Common Multiple of 49259 and 49275