What is the Greatest Common Factor of 74512 and 74520?

Greatest common factor (GCF) of 74512 and 74520 is 8.

GCF(74512,74520) = 8

We will now calculate the prime factors of 74512 and 74520, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74512 and 74520.

How to find the GCF of 74512 and 74520?

We will first find the prime factorization of 74512 and 74520. After we will calculate the factors of 74512 and 74520 and find the biggest common factor number .

Step-1: Prime Factorization of 74512

Prime factors of 74512 are 2, 4657. Prime factorization of 74512 in exponential form is:

74512 = 2⁴ × 4657¹

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 74512

List of positive integer factors of 74512 that divides 74512 without a remainder.

1, 2, 4, 8, 16, 4657, 9314, 18628, 37256

Step-4: Factors of 74520

List of positive integer factors of 74520 that divides 74512 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 74512 and 74520. The biggest common factor number is the GCF number.
So the greatest common factor 74512 and 74520 is 8.

Also check out the Least Common Multiple of 74512 and 74520