What is the Greatest Common Factor of 74508 and 74520?

Greatest common factor (GCF) of 74508 and 74520 is 12.

GCF(74508,74520) = 12

We will now calculate the prime factors of 74508 and 74520, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74508 and 74520.

How to find the GCF of 74508 and 74520?

We will first find the prime factorization of 74508 and 74520. After we will calculate the factors of 74508 and 74520 and find the biggest common factor number .

Step-1: Prime Factorization of 74508

Prime factors of 74508 are 2, 3, 7, 887. Prime factorization of 74508 in exponential form is:

74508 = 2² × 3¹ × 7¹ × 887¹

Step-2: 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-3: Factors of 74508

List of positive integer factors of 74508 that divides 74508 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 887, 1774, 2661, 3548, 5322, 6209, 10644, 12418, 18627, 24836, 37254

Step-4: Factors of 74520

List of positive integer factors of 74520 that divides 74508 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74508 and 74520. The biggest common factor number is the GCF number.
So the greatest common factor 74508 and 74520 is 12.

Also check out the Least Common Multiple of 74508 and 74520