What is the Greatest Common Factor of 74009 and 74025?

Greatest common factor (GCF) of 74009 and 74025 is 1.

GCF(74009,74025) = 1

We will now calculate the prime factors of 74009 and 74025, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74009 and 74025.

How to find the GCF of 74009 and 74025?

We will first find the prime factorization of 74009 and 74025. After we will calculate the factors of 74009 and 74025 and find the biggest common factor number .

Step-1: Prime Factorization of 74009

Prime factors of 74009 are 13, 5693. Prime factorization of 74009 in exponential form is:

74009 = 13¹ × 5693¹

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 74009

List of positive integer factors of 74009 that divides 74009 without a remainder.

1, 13, 5693

Step-4: Factors of 74025

List of positive integer factors of 74025 that divides 74009 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 74009 and 74025. The biggest common factor number is the GCF number.
So the greatest common factor 74009 and 74025 is 1.

Also check out the Least Common Multiple of 74009 and 74025