What is the Greatest Common Factor of 65826 and 65844?

Greatest common factor (GCF) of 65826 and 65844 is 18.

GCF(65826,65844) = 18

We will now calculate the prime factors of 65826 and 65844, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65826 and 65844.

How to find the GCF of 65826 and 65844?

We will first find the prime factorization of 65826 and 65844. After we will calculate the factors of 65826 and 65844 and find the biggest common factor number .

Step-1: Prime Factorization of 65826

Prime factors of 65826 are 2, 3, 23, 53. Prime factorization of 65826 in exponential form is:

65826 = 2¹ × 3³ × 23¹ × 53¹

Step-2: 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-3: Factors of 65826

List of positive integer factors of 65826 that divides 65826 without a remainder.

1, 2, 3, 6, 9, 18, 23, 27, 46, 53, 54, 69, 106, 138, 159, 207, 318, 414, 477, 621, 954, 1219, 1242, 1431, 2438, 2862, 3657, 7314, 10971, 21942, 32913

Step-4: Factors of 65844

List of positive integer factors of 65844 that divides 65826 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65826 and 65844. The biggest common factor number is the GCF number.
So the greatest common factor 65826 and 65844 is 18.

Also check out the Least Common Multiple of 65826 and 65844