What is the Greatest Common Factor of 36560 and 36577?

Greatest common factor (GCF) of 36560 and 36577 is 1.

GCF(36560,36577) = 1

We will now calculate the prime factors of 36560 and 36577, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36560 and 36577.

How to find the GCF of 36560 and 36577?

We will first find the prime factorization of 36560 and 36577. After we will calculate the factors of 36560 and 36577 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 36577

Prime factors of 36577 are 79, 463. Prime factorization of 36577 in exponential form is:

36577 = 79¹ × 463¹

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 36577

List of positive integer factors of 36577 that divides 36560 without a remainder.

1, 79, 463

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36560 and 36577. The biggest common factor number is the GCF number.
So the greatest common factor 36560 and 36577 is 1.

Also check out the Least Common Multiple of 36560 and 36577