What is the Greatest Common Factor of 74025 and 74039?

Greatest common factor (GCF) of 74025 and 74039 is 7.

GCF(74025,74039) = 7

We will now calculate the prime factors of 74025 and 74039, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74025 and 74039.

How to find the GCF of 74025 and 74039?

We will first find the prime factorization of 74025 and 74039. After we will calculate the factors of 74025 and 74039 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 74039

Prime factors of 74039 are 7, 1511. Prime factorization of 74039 in exponential form is:

74039 = 7² × 1511¹

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 74039

List of positive integer factors of 74039 that divides 74025 without a remainder.

1, 7, 49, 1511, 10577

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74025 and 74039. The biggest common factor number is the GCF number.
So the greatest common factor 74025 and 74039 is 7.

Also check out the Least Common Multiple of 74025 and 74039