What is the Greatest Common Factor of 75049 and 75065?

Greatest common factor (GCF) of 75049 and 75065 is 1.

GCF(75049,75065) = 1

We will now calculate the prime factors of 75049 and 75065, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75049 and 75065.

How to find the GCF of 75049 and 75065?

We will first find the prime factorization of 75049 and 75065. After we will calculate the factors of 75049 and 75065 and find the biggest common factor number .

Step-1: Prime Factorization of 75049

Prime factors of 75049 are 13, 23, 251. Prime factorization of 75049 in exponential form is:

75049 = 13¹ × 23¹ × 251¹

Step-2: Prime Factorization of 75065

Prime factors of 75065 are 5, 15013. Prime factorization of 75065 in exponential form is:

75065 = 5¹ × 15013¹

Step-3: Factors of 75049

List of positive integer factors of 75049 that divides 75049 without a remainder.

1, 13, 23, 251, 299, 3263, 5773

Step-4: Factors of 75065

List of positive integer factors of 75065 that divides 75049 without a remainder.

1, 5, 15013

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75049 and 75065. The biggest common factor number is the GCF number.
So the greatest common factor 75049 and 75065 is 1.

Also check out the Least Common Multiple of 75049 and 75065