What is the Greatest Common Factor of 36560 and 36575?

Greatest common factor (GCF) of 36560 and 36575 is 5.

GCF(36560,36575) = 5

We will now calculate the prime factors of 36560 and 36575, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36560 and 36575.

How to find the GCF of 36560 and 36575?

We will first find the prime factorization of 36560 and 36575. After we will calculate the factors of 36560 and 36575 and find the biggest common factor number .

Step-1: Prime Factorization of 36560

Prime factors of 36560 are 2, 5, 457. Prime factorization of 36560 in exponential form is:

36560 = 2⁴ × 5¹ × 457¹

Step-2: Prime Factorization of 36575

Prime factors of 36575 are 5, 7, 11, 19. Prime factorization of 36575 in exponential form is:

36575 = 5² × 7¹ × 11¹ × 19¹

Step-3: Factors of 36560

List of positive integer factors of 36560 that divides 36560 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 457, 914, 1828, 2285, 3656, 4570, 7312, 9140, 18280

Step-4: Factors of 36575

List of positive integer factors of 36575 that divides 36560 without a remainder.

1, 5, 7, 11, 19, 25, 35, 55, 77, 95, 133, 175, 209, 275, 385, 475, 665, 1045, 1463, 1925, 3325, 5225, 7315

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36560 and 36575. The biggest common factor number is the GCF number.
So the greatest common factor 36560 and 36575 is 5.

Also check out the Least Common Multiple of 36560 and 36575