What is the Greatest Common Factor of 65880 and 65892?

Greatest common factor (GCF) of 65880 and 65892 is 12.

GCF(65880,65892) = 12

We will now calculate the prime factors of 65880 and 65892, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65880 and 65892.

How to find the GCF of 65880 and 65892?

We will first find the prime factorization of 65880 and 65892. After we will calculate the factors of 65880 and 65892 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 65892

Prime factors of 65892 are 2, 3, 17, 19. Prime factorization of 65892 in exponential form is:

65892 = 2² × 3¹ × 17² × 19¹

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 65892

List of positive integer factors of 65892 that divides 65880 without a remainder.

1, 2, 3, 4, 6, 12, 17, 19, 34, 38, 51, 57, 68, 76, 102, 114, 204, 228, 289, 323, 578, 646, 867, 969, 1156, 1292, 1734, 1938, 3468, 3876, 5491, 10982, 16473, 21964, 32946

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65880 and 65892. The biggest common factor number is the GCF number.
So the greatest common factor 65880 and 65892 is 12.

Also check out the Least Common Multiple of 65880 and 65892