What is the Greatest Common Factor of 74520 and 74538?

Greatest common factor (GCF) of 74520 and 74538 is 18.

GCF(74520,74538) = 18

We will now calculate the prime factors of 74520 and 74538, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74520 and 74538.

How to find the GCF of 74520 and 74538?

We will first find the prime factorization of 74520 and 74538. After we will calculate the factors of 74520 and 74538 and find the biggest common factor number .

Step-1: Prime Factorization of 74520

Prime factors of 74520 are 2, 3, 5, 23. Prime factorization of 74520 in exponential form is:

74520 = 2³ × 3⁴ × 5¹ × 23¹

Step-2: Prime Factorization of 74538

Prime factors of 74538 are 2, 3, 41, 101. Prime factorization of 74538 in exponential form is:

74538 = 2¹ × 3² × 41¹ × 101¹

Step-3: Factors of 74520

List of positive integer factors of 74520 that divides 74520 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 23, 24, 27, 30, 36, 40, 45, 46, 54, 60, 69, 72, 81, 90, 92, 108, 115, 120, 135, 138, 162, 180, 184, 207, 216, 230, 270, 276, 324, 345, 360, 405, 414, 460, 540, 552, 621, 648, 690, 810, 828, 920, 1035, 1080, 1242, 1380, 1620, 1656, 1863, 2070, 2484, 2760, 3105, 3240, 3726, 4140, 4968, 6210, 7452, 8280, 9315, 12420, 14904, 18630, 24840, 37260

Step-4: Factors of 74538

List of positive integer factors of 74538 that divides 74520 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 101, 123, 202, 246, 303, 369, 606, 738, 909, 1818, 4141, 8282, 12423, 24846, 37269

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74520 and 74538. The biggest common factor number is the GCF number.
So the greatest common factor 74520 and 74538 is 18.

Also check out the Least Common Multiple of 74520 and 74538