What is the Greatest Common Factor of 74520 and 74524?

Greatest common factor (GCF) of 74520 and 74524 is 4.

GCF(74520,74524) = 4

We will now calculate the prime factors of 74520 and 74524, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74520 and 74524.

How to find the GCF of 74520 and 74524?

We will first find the prime factorization of 74520 and 74524. After we will calculate the factors of 74520 and 74524 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 74524

Prime factors of 74524 are 2, 31, 601. Prime factorization of 74524 in exponential form is:

74524 = 2² × 31¹ × 601¹

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 74524

List of positive integer factors of 74524 that divides 74520 without a remainder.

1, 2, 4, 31, 62, 124, 601, 1202, 2404, 18631, 37262

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74520 and 74524. The biggest common factor number is the GCF number.
So the greatest common factor 74520 and 74524 is 4.

Also check out the Least Common Multiple of 74520 and 74524