What is the Greatest Common Factor of 74075 and 74090?

Greatest common factor (GCF) of 74075 and 74090 is 5.

GCF(74075,74090) = 5

We will now calculate the prime factors of 74075 and 74090, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74075 and 74090.

How to find the GCF of 74075 and 74090?

We will first find the prime factorization of 74075 and 74090. After we will calculate the factors of 74075 and 74090 and find the biggest common factor number .

Step-1: Prime Factorization of 74075

Prime factors of 74075 are 5, 2963. Prime factorization of 74075 in exponential form is:

74075 = 5² × 2963¹

Step-2: Prime Factorization of 74090

Prime factors of 74090 are 2, 5, 31, 239. Prime factorization of 74090 in exponential form is:

74090 = 2¹ × 5¹ × 31¹ × 239¹

Step-3: Factors of 74075

List of positive integer factors of 74075 that divides 74075 without a remainder.

1, 5, 25, 2963, 14815

Step-4: Factors of 74090

List of positive integer factors of 74090 that divides 74075 without a remainder.

1, 2, 5, 10, 31, 62, 155, 239, 310, 478, 1195, 2390, 7409, 14818, 37045

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74075 and 74090. The biggest common factor number is the GCF number.
So the greatest common factor 74075 and 74090 is 5.

Also check out the Least Common Multiple of 74075 and 74090