What is the Greatest Common Factor of 74360 and 74365?

Greatest common factor (GCF) of 74360 and 74365 is 5.

GCF(74360,74365) = 5

We will now calculate the prime factors of 74360 and 74365, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74360 and 74365.

How to find the GCF of 74360 and 74365?

We will first find the prime factorization of 74360 and 74365. After we will calculate the factors of 74360 and 74365 and find the biggest common factor number .

Step-1: Prime Factorization of 74360

Prime factors of 74360 are 2, 5, 11, 13. Prime factorization of 74360 in exponential form is:

74360 = 2³ × 5¹ × 11¹ × 13²

Step-2: Prime Factorization of 74365

Prime factors of 74365 are 5, 107, 139. Prime factorization of 74365 in exponential form is:

74365 = 5¹ × 107¹ × 139¹

Step-3: Factors of 74360

List of positive integer factors of 74360 that divides 74360 without a remainder.

1, 2, 4, 5, 8, 10, 11, 13, 20, 22, 26, 40, 44, 52, 55, 65, 88, 104, 110, 130, 143, 169, 220, 260, 286, 338, 440, 520, 572, 676, 715, 845, 1144, 1352, 1430, 1690, 1859, 2860, 3380, 3718, 5720, 6760, 7436, 9295, 14872, 18590, 37180

Step-4: Factors of 74365

List of positive integer factors of 74365 that divides 74360 without a remainder.

1, 5, 107, 139, 535, 695, 14873

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74360 and 74365. The biggest common factor number is the GCF number.
So the greatest common factor 74360 and 74365 is 5.

Also check out the Least Common Multiple of 74360 and 74365