What is the Greatest Common Factor of 74005 and 74025?

Greatest common factor (GCF) of 74005 and 74025 is 5.

GCF(74005,74025) = 5

We will now calculate the prime factors of 74005 and 74025, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74005 and 74025.

How to find the GCF of 74005 and 74025?

We will first find the prime factorization of 74005 and 74025. After we will calculate the factors of 74005 and 74025 and find the biggest common factor number .

Step-1: Prime Factorization of 74005

Prime factors of 74005 are 5, 19, 41. Prime factorization of 74005 in exponential form is:

74005 = 5¹ × 19² × 41¹

Step-2: Prime Factorization of 74025

Prime factors of 74025 are 3, 5, 7, 47. Prime factorization of 74025 in exponential form is:

74025 = 3² × 5² × 7¹ × 47¹

Step-3: Factors of 74005

List of positive integer factors of 74005 that divides 74005 without a remainder.

1, 5, 19, 41, 95, 205, 361, 779, 1805, 3895, 14801

Step-4: Factors of 74025

List of positive integer factors of 74025 that divides 74005 without a remainder.

1, 3, 5, 7, 9, 15, 21, 25, 35, 45, 47, 63, 75, 105, 141, 175, 225, 235, 315, 329, 423, 525, 705, 987, 1175, 1575, 1645, 2115, 2961, 3525, 4935, 8225, 10575, 14805, 24675

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74005 and 74025. The biggest common factor number is the GCF number.
So the greatest common factor 74005 and 74025 is 5.

Also check out the Least Common Multiple of 74005 and 74025