What is the Greatest Common Factor of 36080 and 36087?

Greatest common factor (GCF) of 36080 and 36087 is 1.

GCF(36080,36087) = 1

We will now calculate the prime factors of 36080 and 36087, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36080 and 36087.

How to find the GCF of 36080 and 36087?

We will first find the prime factorization of 36080 and 36087. After we will calculate the factors of 36080 and 36087 and find the biggest common factor number .

Step-1: Prime Factorization of 36080

Prime factors of 36080 are 2, 5, 11, 41. Prime factorization of 36080 in exponential form is:

36080 = 2⁴ × 5¹ × 11¹ × 41¹

Step-2: Prime Factorization of 36087

Prime factors of 36087 are 3, 23, 523. Prime factorization of 36087 in exponential form is:

36087 = 3¹ × 23¹ × 523¹

Step-3: Factors of 36080

List of positive integer factors of 36080 that divides 36080 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 41, 44, 55, 80, 82, 88, 110, 164, 176, 205, 220, 328, 410, 440, 451, 656, 820, 880, 902, 1640, 1804, 2255, 3280, 3608, 4510, 7216, 9020, 18040

Step-4: Factors of 36087

List of positive integer factors of 36087 that divides 36080 without a remainder.

1, 3, 23, 69, 523, 1569, 12029

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36080 and 36087. The biggest common factor number is the GCF number.
So the greatest common factor 36080 and 36087 is 1.

Also check out the Least Common Multiple of 36080 and 36087