What is the Greatest Common Factor of 65925 and 65934?

Greatest common factor (GCF) of 65925 and 65934 is 9.

GCF(65925,65934) = 9

We will now calculate the prime factors of 65925 and 65934, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65925 and 65934.

How to find the GCF of 65925 and 65934?

We will first find the prime factorization of 65925 and 65934. After we will calculate the factors of 65925 and 65934 and find the biggest common factor number .

Step-1: Prime Factorization of 65925

Prime factors of 65925 are 3, 5, 293. Prime factorization of 65925 in exponential form is:

65925 = 3² × 5² × 293¹

Step-2: Prime Factorization of 65934

Prime factors of 65934 are 2, 3, 11, 37. Prime factorization of 65934 in exponential form is:

65934 = 2¹ × 3⁴ × 11¹ × 37¹

Step-3: Factors of 65925

List of positive integer factors of 65925 that divides 65925 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225, 293, 879, 1465, 2637, 4395, 7325, 13185, 21975

Step-4: Factors of 65934

List of positive integer factors of 65934 that divides 65925 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 37, 54, 66, 74, 81, 99, 111, 162, 198, 222, 297, 333, 407, 594, 666, 814, 891, 999, 1221, 1782, 1998, 2442, 2997, 3663, 5994, 7326, 10989, 21978, 32967

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65925 and 65934. The biggest common factor number is the GCF number.
So the greatest common factor 65925 and 65934 is 9.

Also check out the Least Common Multiple of 65925 and 65934