What is the Greatest Common Factor of 76994 and 76998?

Greatest common factor (GCF) of 76994 and 76998 is 2.

GCF(76994,76998) = 2

We will now calculate the prime factors of 76994 and 76998, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76994 and 76998.

How to find the GCF of 76994 and 76998?

We will first find the prime factorization of 76994 and 76998. After we will calculate the factors of 76994 and 76998 and find the biggest common factor number .

Step-1: Prime Factorization of 76994

Prime factors of 76994 are 2, 137, 281. Prime factorization of 76994 in exponential form is:

76994 = 2¹ × 137¹ × 281¹

Step-2: Prime Factorization of 76998

Prime factors of 76998 are 2, 3, 41, 313. Prime factorization of 76998 in exponential form is:

76998 = 2¹ × 3¹ × 41¹ × 313¹

Step-3: Factors of 76994

List of positive integer factors of 76994 that divides 76994 without a remainder.

1, 2, 137, 274, 281, 562, 38497

Step-4: Factors of 76998

List of positive integer factors of 76998 that divides 76994 without a remainder.

1, 2, 3, 6, 41, 82, 123, 246, 313, 626, 939, 1878, 12833, 25666, 38499

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76994 and 76998. The biggest common factor number is the GCF number.
So the greatest common factor 76994 and 76998 is 2.

Also check out the Least Common Multiple of 76994 and 76998