What is the Greatest Common Factor of 74352 and 74370?

Greatest common factor (GCF) of 74352 and 74370 is 6.

GCF(74352,74370) = 6

We will now calculate the prime factors of 74352 and 74370, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74352 and 74370.

How to find the GCF of 74352 and 74370?

We will first find the prime factorization of 74352 and 74370. After we will calculate the factors of 74352 and 74370 and find the biggest common factor number .

Step-1: Prime Factorization of 74352

Prime factors of 74352 are 2, 3, 1549. Prime factorization of 74352 in exponential form is:

74352 = 2⁴ × 3¹ × 1549¹

Step-2: Prime Factorization of 74370

Prime factors of 74370 are 2, 3, 5, 37, 67. Prime factorization of 74370 in exponential form is:

74370 = 2¹ × 3¹ × 5¹ × 37¹ × 67¹

Step-3: Factors of 74352

List of positive integer factors of 74352 that divides 74352 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1549, 3098, 4647, 6196, 9294, 12392, 18588, 24784, 37176

Step-4: Factors of 74370

List of positive integer factors of 74370 that divides 74352 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 37, 67, 74, 111, 134, 185, 201, 222, 335, 370, 402, 555, 670, 1005, 1110, 2010, 2479, 4958, 7437, 12395, 14874, 24790, 37185

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74352 and 74370. The biggest common factor number is the GCF number.
So the greatest common factor 74352 and 74370 is 6.

Also check out the Least Common Multiple of 74352 and 74370