What is the Greatest Common Factor of 65880 and 65887?

Greatest common factor (GCF) of 65880 and 65887 is 1.

GCF(65880,65887) = 1

We will now calculate the prime factors of 65880 and 65887, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65880 and 65887.

How to find the GCF of 65880 and 65887?

We will first find the prime factorization of 65880 and 65887. After we will calculate the factors of 65880 and 65887 and find the biggest common factor number .

Step-1: Prime Factorization of 65880

Prime factors of 65880 are 2, 3, 5, 61. Prime factorization of 65880 in exponential form is:

65880 = 2³ × 3³ × 5¹ × 61¹

Step-2: Prime Factorization of 65887

Prime factors of 65887 are 41, 1607. Prime factorization of 65887 in exponential form is:

65887 = 41¹ × 1607¹

Step-3: Factors of 65880

List of positive integer factors of 65880 that divides 65880 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 27, 30, 36, 40, 45, 54, 60, 61, 72, 90, 108, 120, 122, 135, 180, 183, 216, 244, 270, 305, 360, 366, 488, 540, 549, 610, 732, 915, 1080, 1098, 1220, 1464, 1647, 1830, 2196, 2440, 2745, 3294, 3660, 4392, 5490, 6588, 7320, 8235, 10980, 13176, 16470, 21960, 32940

Step-4: Factors of 65887

List of positive integer factors of 65887 that divides 65880 without a remainder.

1, 41, 1607

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65880 and 65887. The biggest common factor number is the GCF number.
So the greatest common factor 65880 and 65887 is 1.

Also check out the Least Common Multiple of 65880 and 65887