What is the Greatest Common Factor of 68565 and 68580?

Greatest common factor (GCF) of 68565 and 68580 is 15.

GCF(68565,68580) = 15

We will now calculate the prime factors of 68565 and 68580, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68565 and 68580.

How to find the GCF of 68565 and 68580?

We will first find the prime factorization of 68565 and 68580. After we will calculate the factors of 68565 and 68580 and find the biggest common factor number .

Step-1: Prime Factorization of 68565

Prime factors of 68565 are 3, 5, 7, 653. Prime factorization of 68565 in exponential form is:

68565 = 3¹ × 5¹ × 7¹ × 653¹

Step-2: Prime Factorization of 68580

Prime factors of 68580 are 2, 3, 5, 127. Prime factorization of 68580 in exponential form is:

68580 = 2² × 3³ × 5¹ × 127¹

Step-3: Factors of 68565

List of positive integer factors of 68565 that divides 68565 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 653, 1959, 3265, 4571, 9795, 13713, 22855

Step-4: Factors of 68580

List of positive integer factors of 68580 that divides 68565 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 127, 135, 180, 254, 270, 381, 508, 540, 635, 762, 1143, 1270, 1524, 1905, 2286, 2540, 3429, 3810, 4572, 5715, 6858, 7620, 11430, 13716, 17145, 22860, 34290

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68565 and 68580. The biggest common factor number is the GCF number.
So the greatest common factor 68565 and 68580 is 15.

Also check out the Least Common Multiple of 68565 and 68580