What is the Greatest Common Factor of 74495 and 74515?

Greatest common factor (GCF) of 74495 and 74515 is 5.

GCF(74495,74515) = 5

We will now calculate the prime factors of 74495 and 74515, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74495 and 74515.

How to find the GCF of 74495 and 74515?

We will first find the prime factorization of 74495 and 74515. After we will calculate the factors of 74495 and 74515 and find the biggest common factor number .

Step-1: Prime Factorization of 74495

Prime factors of 74495 are 5, 47, 317. Prime factorization of 74495 in exponential form is:

74495 = 5¹ × 47¹ × 317¹

Step-2: Prime Factorization of 74515

Prime factors of 74515 are 5, 7, 2129. Prime factorization of 74515 in exponential form is:

74515 = 5¹ × 7¹ × 2129¹

Step-3: Factors of 74495

List of positive integer factors of 74495 that divides 74495 without a remainder.

1, 5, 47, 235, 317, 1585, 14899

Step-4: Factors of 74515

List of positive integer factors of 74515 that divides 74495 without a remainder.

1, 5, 7, 35, 2129, 10645, 14903

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74495 and 74515. The biggest common factor number is the GCF number.
So the greatest common factor 74495 and 74515 is 5.

Also check out the Least Common Multiple of 74495 and 74515