What is the Greatest Common Factor of 74360 and 74371?

Greatest common factor (GCF) of 74360 and 74371 is 11.

GCF(74360,74371) = 11

We will now calculate the prime factors of 74360 and 74371, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74360 and 74371.

How to find the GCF of 74360 and 74371?

We will first find the prime factorization of 74360 and 74371. After we will calculate the factors of 74360 and 74371 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 74371

Prime factors of 74371 are 11, 6761. Prime factorization of 74371 in exponential form is:

74371 = 11¹ × 6761¹

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 74371

List of positive integer factors of 74371 that divides 74360 without a remainder.

1, 11, 6761

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74360 and 74371. The biggest common factor number is the GCF number.
So the greatest common factor 74360 and 74371 is 11.

Also check out the Least Common Multiple of 74360 and 74371