What is the Greatest Common Factor of 65892 and 65904?

Greatest common factor (GCF) of 65892 and 65904 is 12.

GCF(65892,65904) = 12

We will now calculate the prime factors of 65892 and 65904, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65892 and 65904.

How to find the GCF of 65892 and 65904?

We will first find the prime factorization of 65892 and 65904. After we will calculate the factors of 65892 and 65904 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 65904

Prime factors of 65904 are 2, 3, 1373. Prime factorization of 65904 in exponential form is:

65904 = 2⁴ × 3¹ × 1373¹

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 65904

List of positive integer factors of 65904 that divides 65892 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1373, 2746, 4119, 5492, 8238, 10984, 16476, 21968, 32952

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65892 and 65904. The biggest common factor number is the GCF number.
So the greatest common factor 65892 and 65904 is 12.

Also check out the Least Common Multiple of 65892 and 65904