What is the Greatest Common Factor of 65844 and 65864?

Greatest common factor (GCF) of 65844 and 65864 is 4.

GCF(65844,65864) = 4

We will now calculate the prime factors of 65844 and 65864, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65844 and 65864.

How to find the GCF of 65844 and 65864?

We will first find the prime factorization of 65844 and 65864. After we will calculate the factors of 65844 and 65864 and find the biggest common factor number .

Step-1: Prime Factorization of 65844

Prime factors of 65844 are 2, 3, 31, 59. Prime factorization of 65844 in exponential form is:

65844 = 2² × 3² × 31¹ × 59¹

Step-2: Prime Factorization of 65864

Prime factors of 65864 are 2, 8233. Prime factorization of 65864 in exponential form is:

65864 = 2³ × 8233¹

Step-3: Factors of 65844

List of positive integer factors of 65844 that divides 65844 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 31, 36, 59, 62, 93, 118, 124, 177, 186, 236, 279, 354, 372, 531, 558, 708, 1062, 1116, 1829, 2124, 3658, 5487, 7316, 10974, 16461, 21948, 32922

Step-4: Factors of 65864

List of positive integer factors of 65864 that divides 65844 without a remainder.

1, 2, 4, 8, 8233, 16466, 32932

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65844 and 65864. The biggest common factor number is the GCF number.
So the greatest common factor 65844 and 65864 is 4.

Also check out the Least Common Multiple of 65844 and 65864