What is the Greatest Common Factor of 74195 and 74210?

Greatest common factor (GCF) of 74195 and 74210 is 5.

GCF(74195,74210) = 5

We will now calculate the prime factors of 74195 and 74210, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74195 and 74210.

How to find the GCF of 74195 and 74210?

We will first find the prime factorization of 74195 and 74210. After we will calculate the factors of 74195 and 74210 and find the biggest common factor number .

Step-1: Prime Factorization of 74195

Prime factors of 74195 are 5, 11, 19, 71. Prime factorization of 74195 in exponential form is:

74195 = 5¹ × 11¹ × 19¹ × 71¹

Step-2: Prime Factorization of 74210

Prime factors of 74210 are 2, 5, 41, 181. Prime factorization of 74210 in exponential form is:

74210 = 2¹ × 5¹ × 41¹ × 181¹

Step-3: Factors of 74195

List of positive integer factors of 74195 that divides 74195 without a remainder.

1, 5, 11, 19, 55, 71, 95, 209, 355, 781, 1045, 1349, 3905, 6745, 14839

Step-4: Factors of 74210

List of positive integer factors of 74210 that divides 74195 without a remainder.

1, 2, 5, 10, 41, 82, 181, 205, 362, 410, 905, 1810, 7421, 14842, 37105

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74195 and 74210. The biggest common factor number is the GCF number.
So the greatest common factor 74195 and 74210 is 5.

Also check out the Least Common Multiple of 74195 and 74210