What is the Greatest Common Factor of 67656 and 67665?

Greatest common factor (GCF) of 67656 and 67665 is 3.

GCF(67656,67665) = 3

We will now calculate the prime factors of 67656 and 67665, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67656 and 67665.

How to find the GCF of 67656 and 67665?

We will first find the prime factorization of 67656 and 67665. After we will calculate the factors of 67656 and 67665 and find the biggest common factor number .

Step-1: Prime Factorization of 67656

Prime factors of 67656 are 2, 3, 2819. Prime factorization of 67656 in exponential form is:

67656 = 2³ × 3¹ × 2819¹

Step-2: Prime Factorization of 67665

Prime factors of 67665 are 3, 5, 13, 347. Prime factorization of 67665 in exponential form is:

67665 = 3¹ × 5¹ × 13¹ × 347¹

Step-3: Factors of 67656

List of positive integer factors of 67656 that divides 67656 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2819, 5638, 8457, 11276, 16914, 22552, 33828

Step-4: Factors of 67665

List of positive integer factors of 67665 that divides 67656 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195, 347, 1041, 1735, 4511, 5205, 13533, 22555

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67656 and 67665. The biggest common factor number is the GCF number.
So the greatest common factor 67656 and 67665 is 3.

Also check out the Least Common Multiple of 67656 and 67665