What is the Greatest Common Factor of 74349 and 74360?

Greatest common factor (GCF) of 74349 and 74360 is 11.

GCF(74349,74360) = 11

We will now calculate the prime factors of 74349 and 74360, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74349 and 74360.

How to find the GCF of 74349 and 74360?

We will first find the prime factorization of 74349 and 74360. After we will calculate the factors of 74349 and 74360 and find the biggest common factor number .

Step-1: Prime Factorization of 74349

Prime factors of 74349 are 3, 11, 751. Prime factorization of 74349 in exponential form is:

74349 = 3² × 11¹ × 751¹

Step-2: 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-3: Factors of 74349

List of positive integer factors of 74349 that divides 74349 without a remainder.

1, 3, 9, 11, 33, 99, 751, 2253, 6759, 8261, 24783

Step-4: Factors of 74360

List of positive integer factors of 74360 that divides 74349 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74349 and 74360. The biggest common factor number is the GCF number.
So the greatest common factor 74349 and 74360 is 11.

Also check out the Least Common Multiple of 74349 and 74360