What is the Greatest Common Factor of 74025 and 74040?

Greatest common factor (GCF) of 74025 and 74040 is 15.

GCF(74025,74040) = 15

We will now calculate the prime factors of 74025 and 74040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74025 and 74040.

How to find the GCF of 74025 and 74040?

We will first find the prime factorization of 74025 and 74040. After we will calculate the factors of 74025 and 74040 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 74040

Prime factors of 74040 are 2, 3, 5, 617. Prime factorization of 74040 in exponential form is:

74040 = 2³ × 3¹ × 5¹ × 617¹

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 74040

List of positive integer factors of 74040 that divides 74025 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 617, 1234, 1851, 2468, 3085, 3702, 4936, 6170, 7404, 9255, 12340, 14808, 18510, 24680, 37020

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74025 and 74040. The biggest common factor number is the GCF number.
So the greatest common factor 74025 and 74040 is 15.

Also check out the Least Common Multiple of 74025 and 74040