What is the Greatest Common Factor of 74560 and 74565?

Greatest common factor (GCF) of 74560 and 74565 is 5.

GCF(74560,74565) = 5

We will now calculate the prime factors of 74560 and 74565, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74560 and 74565.

How to find the GCF of 74560 and 74565?

We will first find the prime factorization of 74560 and 74565. After we will calculate the factors of 74560 and 74565 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 74565

Prime factors of 74565 are 3, 5, 1657. Prime factorization of 74565 in exponential form is:

74565 = 3² × 5¹ × 1657¹

Step-3: Factors of 74560

List of positive integer factors of 74560 that divides 74560 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

Step-4: Factors of 74565

List of positive integer factors of 74565 that divides 74560 without a remainder.

1, 3, 5, 9, 15, 45, 1657, 4971, 8285, 14913, 24855

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74560 and 74565. The biggest common factor number is the GCF number.
So the greatest common factor 74560 and 74565 is 5.

Also check out the Least Common Multiple of 74560 and 74565