What is the Greatest Common Factor of 65892 and 65912?

Greatest common factor (GCF) of 65892 and 65912 is 4.

GCF(65892,65912) = 4

We will now calculate the prime factors of 65892 and 65912, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65892 and 65912.

How to find the GCF of 65892 and 65912?

We will first find the prime factorization of 65892 and 65912. After we will calculate the factors of 65892 and 65912 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 65912

Prime factors of 65912 are 2, 7, 11, 107. Prime factorization of 65912 in exponential form is:

65912 = 2³ × 7¹ × 11¹ × 107¹

Step-3: Factors of 65892

List of positive integer factors of 65892 that divides 65892 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

Step-4: Factors of 65912

List of positive integer factors of 65912 that divides 65892 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 107, 154, 214, 308, 428, 616, 749, 856, 1177, 1498, 2354, 2996, 4708, 5992, 8239, 9416, 16478, 32956

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65892 and 65912. The biggest common factor number is the GCF number.
So the greatest common factor 65892 and 65912 is 4.

Also check out the Least Common Multiple of 65892 and 65912