What is the Greatest Common Factor of 67665 and 67671?

Greatest common factor (GCF) of 67665 and 67671 is 3.

GCF(67665,67671) = 3

We will now calculate the prime factors of 67665 and 67671, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67665 and 67671.

How to find the GCF of 67665 and 67671?

We will first find the prime factorization of 67665 and 67671. After we will calculate the factors of 67665 and 67671 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 67671

Prime factors of 67671 are 3, 73, 103. Prime factorization of 67671 in exponential form is:

67671 = 3² × 73¹ × 103¹

Step-3: Factors of 67665

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

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

Step-4: Factors of 67671

List of positive integer factors of 67671 that divides 67665 without a remainder.

1, 3, 9, 73, 103, 219, 309, 657, 927, 7519, 22557

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67665 and 67671. The biggest common factor number is the GCF number.
So the greatest common factor 67665 and 67671 is 3.

Also check out the Least Common Multiple of 67665 and 67671