What is the Greatest Common Factor of 67695 and 67710?

Greatest common factor (GCF) of 67695 and 67710 is 15.

GCF(67695,67710) = 15

We will now calculate the prime factors of 67695 and 67710, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67695 and 67710.

How to find the GCF of 67695 and 67710?

We will first find the prime factorization of 67695 and 67710. After we will calculate the factors of 67695 and 67710 and find the biggest common factor number .

Step-1: Prime Factorization of 67695

Prime factors of 67695 are 3, 5, 4513. Prime factorization of 67695 in exponential form is:

67695 = 3¹ × 5¹ × 4513¹

Step-2: Prime Factorization of 67710

Prime factors of 67710 are 2, 3, 5, 37, 61. Prime factorization of 67710 in exponential form is:

67710 = 2¹ × 3¹ × 5¹ × 37¹ × 61¹

Step-3: Factors of 67695

List of positive integer factors of 67695 that divides 67695 without a remainder.

1, 3, 5, 15, 4513, 13539, 22565

Step-4: Factors of 67710

List of positive integer factors of 67710 that divides 67695 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 37, 61, 74, 111, 122, 183, 185, 222, 305, 366, 370, 555, 610, 915, 1110, 1830, 2257, 4514, 6771, 11285, 13542, 22570, 33855

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67695 and 67710. The biggest common factor number is the GCF number.
So the greatest common factor 67695 and 67710 is 15.

Also check out the Least Common Multiple of 67695 and 67710