What is the Greatest Common Factor of 49275 and 49295?

Greatest common factor (GCF) of 49275 and 49295 is 5.

GCF(49275,49295) = 5

We will now calculate the prime factors of 49275 and 49295, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49275 and 49295.

How to find the GCF of 49275 and 49295?

We will first find the prime factorization of 49275 and 49295. After we will calculate the factors of 49275 and 49295 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 49295

Prime factors of 49295 are 5, 9859. Prime factorization of 49295 in exponential form is:

49295 = 5¹ × 9859¹

Step-3: Factors of 49275

List of positive integer factors of 49275 that divides 49275 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

Step-4: Factors of 49295

List of positive integer factors of 49295 that divides 49275 without a remainder.

1, 5, 9859

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49275 and 49295. The biggest common factor number is the GCF number.
So the greatest common factor 49275 and 49295 is 5.

Also check out the Least Common Multiple of 49275 and 49295