What is the Greatest Common Factor of 74540 and 74560?

Greatest common factor (GCF) of 74540 and 74560 is 20.

GCF(74540,74560) = 20

We will now calculate the prime factors of 74540 and 74560, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74540 and 74560.

How to find the GCF of 74540 and 74560?

We will first find the prime factorization of 74540 and 74560. After we will calculate the factors of 74540 and 74560 and find the biggest common factor number .

Step-1: Prime Factorization of 74540

Prime factors of 74540 are 2, 5, 3727. Prime factorization of 74540 in exponential form is:

74540 = 2² × 5¹ × 3727¹

Step-2: Prime Factorization of 74560

Prime factors of 74560 are 2, 5, 233. Prime factorization of 74560 in exponential form is:

74560 = 2⁶ × 5¹ × 233¹

Step-3: Factors of 74540

List of positive integer factors of 74540 that divides 74540 without a remainder.

1, 2, 4, 5, 10, 20, 3727, 7454, 14908, 18635, 37270

Step-4: Factors of 74560

List of positive integer factors of 74560 that divides 74540 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 233, 320, 466, 932, 1165, 1864, 2330, 3728, 4660, 7456, 9320, 14912, 18640, 37280

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74540 and 74560. The biggest common factor number is the GCF number.
So the greatest common factor 74540 and 74560 is 20.

Also check out the Least Common Multiple of 74540 and 74560