What is the Greatest Common Factor of 68625 and 68634?

Greatest common factor (GCF) of 68625 and 68634 is 9.

GCF(68625,68634) = 9

We will now calculate the prime factors of 68625 and 68634, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68625 and 68634.

How to find the GCF of 68625 and 68634?

We will first find the prime factorization of 68625 and 68634. After we will calculate the factors of 68625 and 68634 and find the biggest common factor number .

Step-1: Prime Factorization of 68625

Prime factors of 68625 are 3, 5, 61. Prime factorization of 68625 in exponential form is:

68625 = 3² × 5³ × 61¹

Step-2: Prime Factorization of 68634

Prime factors of 68634 are 2, 3, 31, 41. Prime factorization of 68634 in exponential form is:

68634 = 2¹ × 3³ × 31¹ × 41¹

Step-3: Factors of 68625

List of positive integer factors of 68625 that divides 68625 without a remainder.

1, 3, 5, 9, 15, 25, 45, 61, 75, 125, 183, 225, 305, 375, 549, 915, 1125, 1525, 2745, 4575, 7625, 13725, 22875

Step-4: Factors of 68634

List of positive integer factors of 68634 that divides 68625 without a remainder.

1, 2, 3, 6, 9, 18, 27, 31, 41, 54, 62, 82, 93, 123, 186, 246, 279, 369, 558, 738, 837, 1107, 1271, 1674, 2214, 2542, 3813, 7626, 11439, 22878, 34317

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68625 and 68634. The biggest common factor number is the GCF number.
So the greatest common factor 68625 and 68634 is 9.

Also check out the Least Common Multiple of 68625 and 68634