What is the Greatest Common Factor of 65088 and 65105?

Greatest common factor (GCF) of 65088 and 65105 is 1.

GCF(65088,65105) = 1

We will now calculate the prime factors of 65088 and 65105, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65088 and 65105.

How to find the GCF of 65088 and 65105?

We will first find the prime factorization of 65088 and 65105. After we will calculate the factors of 65088 and 65105 and find the biggest common factor number .

Step-1: Prime Factorization of 65088

Prime factors of 65088 are 2, 3, 113. Prime factorization of 65088 in exponential form is:

65088 = 2⁶ × 3² × 113¹

Step-2: Prime Factorization of 65105

Prime factors of 65105 are 5, 29, 449. Prime factorization of 65105 in exponential form is:

65105 = 5¹ × 29¹ × 449¹

Step-3: Factors of 65088

List of positive integer factors of 65088 that divides 65088 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 113, 144, 192, 226, 288, 339, 452, 576, 678, 904, 1017, 1356, 1808, 2034, 2712, 3616, 4068, 5424, 7232, 8136, 10848, 16272, 21696, 32544

Step-4: Factors of 65105

List of positive integer factors of 65105 that divides 65088 without a remainder.

1, 5, 29, 145, 449, 2245, 13021

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65088 and 65105. The biggest common factor number is the GCF number.
So the greatest common factor 65088 and 65105 is 1.

Also check out the Least Common Multiple of 65088 and 65105