What is the Greatest Common Factor of 74400 and 74413?

Greatest common factor (GCF) of 74400 and 74413 is 1.

GCF(74400,74413) = 1

We will now calculate the prime factors of 74400 and 74413, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74400 and 74413.

How to find the GCF of 74400 and 74413?

We will first find the prime factorization of 74400 and 74413. After we will calculate the factors of 74400 and 74413 and find the biggest common factor number .

Step-1: Prime Factorization of 74400

Prime factors of 74400 are 2, 3, 5, 31. Prime factorization of 74400 in exponential form is:

74400 = 2⁵ × 3¹ × 5² × 31¹

Step-2: Prime Factorization of 74413

Prime factors of 74413 are 74413. Prime factorization of 74413 in exponential form is:

74413 = 74413¹

Step-3: Factors of 74400

List of positive integer factors of 74400 that divides 74400 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 31, 32, 40, 48, 50, 60, 62, 75, 80, 93, 96, 100, 120, 124, 150, 155, 160, 186, 200, 240, 248, 300, 310, 372, 400, 465, 480, 496, 600, 620, 744, 775, 800, 930, 992, 1200, 1240, 1488, 1550, 1860, 2325, 2400, 2480, 2976, 3100, 3720, 4650, 4960, 6200, 7440, 9300, 12400, 14880, 18600, 24800, 37200

Step-4: Factors of 74413

List of positive integer factors of 74413 that divides 74400 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74400 and 74413. The biggest common factor number is the GCF number.
So the greatest common factor 74400 and 74413 is 1.

Also check out the Least Common Multiple of 74400 and 74413