What is the Greatest Common Factor of 77994 and 78014?

Greatest common factor (GCF) of 77994 and 78014 is 2.

GCF(77994,78014) = 2

We will now calculate the prime factors of 77994 and 78014, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77994 and 78014.

How to find the GCF of 77994 and 78014?

We will first find the prime factorization of 77994 and 78014. After we will calculate the factors of 77994 and 78014 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 78014

Prime factors of 78014 are 2, 19, 2053. Prime factorization of 78014 in exponential form is:

78014 = 2¹ × 19¹ × 2053¹

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 78014

List of positive integer factors of 78014 that divides 77994 without a remainder.

1, 2, 19, 38, 2053, 4106, 39007

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77994 and 78014. The biggest common factor number is the GCF number.
So the greatest common factor 77994 and 78014 is 2.

Also check out the Least Common Multiple of 77994 and 78014