What is the Greatest Common Factor of 49065 and 49075?

Greatest common factor (GCF) of 49065 and 49075 is 5.

GCF(49065,49075) = 5

We will now calculate the prime factors of 49065 and 49075, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49065 and 49075.

How to find the GCF of 49065 and 49075?

We will first find the prime factorization of 49065 and 49075. After we will calculate the factors of 49065 and 49075 and find the biggest common factor number .

Step-1: Prime Factorization of 49065

Prime factors of 49065 are 3, 5, 3271. Prime factorization of 49065 in exponential form is:

49065 = 3¹ × 5¹ × 3271¹

Step-2: Prime Factorization of 49075

Prime factors of 49075 are 5, 13, 151. Prime factorization of 49075 in exponential form is:

49075 = 5² × 13¹ × 151¹

Step-3: Factors of 49065

List of positive integer factors of 49065 that divides 49065 without a remainder.

1, 3, 5, 15, 3271, 9813, 16355

Step-4: Factors of 49075

List of positive integer factors of 49075 that divides 49065 without a remainder.

1, 5, 13, 25, 65, 151, 325, 755, 1963, 3775, 9815

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49065 and 49075. The biggest common factor number is the GCF number.
So the greatest common factor 49065 and 49075 is 5.

Also check out the Least Common Multiple of 49065 and 49075