What is the Greatest Common Factor of 67989 and 67995?

Greatest common factor (GCF) of 67989 and 67995 is 3.

GCF(67989,67995) = 3

We will now calculate the prime factors of 67989 and 67995, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67989 and 67995.

How to find the GCF of 67989 and 67995?

We will first find the prime factorization of 67989 and 67995. After we will calculate the factors of 67989 and 67995 and find the biggest common factor number .

Step-1: Prime Factorization of 67989

Prime factors of 67989 are 3, 131, 173. Prime factorization of 67989 in exponential form is:

67989 = 3¹ × 131¹ × 173¹

Step-2: Prime Factorization of 67995

Prime factors of 67995 are 3, 5, 1511. Prime factorization of 67995 in exponential form is:

67995 = 3² × 5¹ × 1511¹

Step-3: Factors of 67989

List of positive integer factors of 67989 that divides 67989 without a remainder.

1, 3, 131, 173, 393, 519, 22663

Step-4: Factors of 67995

List of positive integer factors of 67995 that divides 67989 without a remainder.

1, 3, 5, 9, 15, 45, 1511, 4533, 7555, 13599, 22665

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67989 and 67995. The biggest common factor number is the GCF number.
So the greatest common factor 67989 and 67995 is 3.

Also check out the Least Common Multiple of 67989 and 67995