What is the Greatest Common Factor of 74505 and 74520?

Greatest common factor (GCF) of 74505 and 74520 is 15.

GCF(74505,74520) = 15

We will now calculate the prime factors of 74505 and 74520, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74505 and 74520.

How to find the GCF of 74505 and 74520?

We will first find the prime factorization of 74505 and 74520. After we will calculate the factors of 74505 and 74520 and find the biggest common factor number .

Step-1: Prime Factorization of 74505

Prime factors of 74505 are 3, 5, 4967. Prime factorization of 74505 in exponential form is:

74505 = 3¹ × 5¹ × 4967¹

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 74505

List of positive integer factors of 74505 that divides 74505 without a remainder.

1, 3, 5, 15, 4967, 14901, 24835

Step-4: Factors of 74520

List of positive integer factors of 74520 that divides 74505 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 74505 and 74520. The biggest common factor number is the GCF number.
So the greatest common factor 74505 and 74520 is 15.

Also check out the Least Common Multiple of 74505 and 74520