What is the Greatest Common Factor of 74275 and 74290?

Greatest common factor (GCF) of 74275 and 74290 is 5.

GCF(74275,74290) = 5

We will now calculate the prime factors of 74275 and 74290, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74275 and 74290.

How to find the GCF of 74275 and 74290?

We will first find the prime factorization of 74275 and 74290. After we will calculate the factors of 74275 and 74290 and find the biggest common factor number .

Step-1: Prime Factorization of 74275

Prime factors of 74275 are 5, 2971. Prime factorization of 74275 in exponential form is:

74275 = 5² × 2971¹

Step-2: Prime Factorization of 74290

Prime factors of 74290 are 2, 5, 17, 19, 23. Prime factorization of 74290 in exponential form is:

74290 = 2¹ × 5¹ × 17¹ × 19¹ × 23¹

Step-3: Factors of 74275

List of positive integer factors of 74275 that divides 74275 without a remainder.

1, 5, 25, 2971, 14855

Step-4: Factors of 74290

List of positive integer factors of 74290 that divides 74275 without a remainder.

1, 2, 5, 10, 17, 19, 23, 34, 38, 46, 85, 95, 115, 170, 190, 230, 323, 391, 437, 646, 782, 874, 1615, 1955, 2185, 3230, 3910, 4370, 7429, 14858, 37145

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74275 and 74290. The biggest common factor number is the GCF number.
So the greatest common factor 74275 and 74290 is 5.

Also check out the Least Common Multiple of 74275 and 74290