What is the Greatest Common Factor of 74025 and 74035?

Greatest common factor (GCF) of 74025 and 74035 is 5.

GCF(74025,74035) = 5

We will now calculate the prime factors of 74025 and 74035, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74025 and 74035.

How to find the GCF of 74025 and 74035?

We will first find the prime factorization of 74025 and 74035. After we will calculate the factors of 74025 and 74035 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 74035

Prime factors of 74035 are 5, 13, 17, 67. Prime factorization of 74035 in exponential form is:

74035 = 5¹ × 13¹ × 17¹ × 67¹

Step-3: Factors of 74025

List of positive integer factors of 74025 that divides 74025 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

Step-4: Factors of 74035

List of positive integer factors of 74035 that divides 74025 without a remainder.

1, 5, 13, 17, 65, 67, 85, 221, 335, 871, 1105, 1139, 4355, 5695, 14807

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74025 and 74035. The biggest common factor number is the GCF number.
So the greatest common factor 74025 and 74035 is 5.

Also check out the Least Common Multiple of 74025 and 74035