What is the Greatest Common Factor of 74045 and 74065?

Greatest common factor (GCF) of 74045 and 74065 is 5.

GCF(74045,74065) = 5

We will now calculate the prime factors of 74045 and 74065, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74045 and 74065.

How to find the GCF of 74045 and 74065?

We will first find the prime factorization of 74045 and 74065. After we will calculate the factors of 74045 and 74065 and find the biggest common factor number .

Step-1: Prime Factorization of 74045

Prime factors of 74045 are 5, 59, 251. Prime factorization of 74045 in exponential form is:

74045 = 5¹ × 59¹ × 251¹

Step-2: Prime Factorization of 74065

Prime factors of 74065 are 5, 14813. Prime factorization of 74065 in exponential form is:

74065 = 5¹ × 14813¹

Step-3: Factors of 74045

List of positive integer factors of 74045 that divides 74045 without a remainder.

1, 5, 59, 251, 295, 1255, 14809

Step-4: Factors of 74065

List of positive integer factors of 74065 that divides 74045 without a remainder.

1, 5, 14813

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74045 and 74065. The biggest common factor number is the GCF number.
So the greatest common factor 74045 and 74065 is 5.

Also check out the Least Common Multiple of 74045 and 74065