What is the Greatest Common Factor of 77994 and 78012?

Greatest common factor (GCF) of 77994 and 78012 is 18.

GCF(77994,78012) = 18

We will now calculate the prime factors of 77994 and 78012, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77994 and 78012.

How to find the GCF of 77994 and 78012?

We will first find the prime factorization of 77994 and 78012. After we will calculate the factors of 77994 and 78012 and find the biggest common factor number .

Step-1: Prime Factorization of 77994

Prime factors of 77994 are 2, 3, 7, 619. Prime factorization of 77994 in exponential form is:

77994 = 2¹ × 3² × 7¹ × 619¹

Step-2: Prime Factorization of 78012

Prime factors of 78012 are 2, 3, 11, 197. Prime factorization of 78012 in exponential form is:

78012 = 2² × 3² × 11¹ × 197¹

Step-3: Factors of 77994

List of positive integer factors of 77994 that divides 77994 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 619, 1238, 1857, 3714, 4333, 5571, 8666, 11142, 12999, 25998, 38997

Step-4: Factors of 78012

List of positive integer factors of 78012 that divides 77994 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 197, 198, 394, 396, 591, 788, 1182, 1773, 2167, 2364, 3546, 4334, 6501, 7092, 8668, 13002, 19503, 26004, 39006

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77994 and 78012. The biggest common factor number is the GCF number.
So the greatest common factor 77994 and 78012 is 18.

Also check out the Least Common Multiple of 77994 and 78012