What is the Greatest Common Factor of 76918 and 76938?

Greatest common factor (GCF) of 76918 and 76938 is 2.

GCF(76918,76938) = 2

We will now calculate the prime factors of 76918 and 76938, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76918 and 76938.

How to find the GCF of 76918 and 76938?

We will first find the prime factorization of 76918 and 76938. After we will calculate the factors of 76918 and 76938 and find the biggest common factor number .

Step-1: Prime Factorization of 76918

Prime factors of 76918 are 2, 38459. Prime factorization of 76918 in exponential form is:

76918 = 2¹ × 38459¹

Step-2: Prime Factorization of 76938

Prime factors of 76938 are 2, 3, 12823. Prime factorization of 76938 in exponential form is:

76938 = 2¹ × 3¹ × 12823¹

Step-3: Factors of 76918

List of positive integer factors of 76918 that divides 76918 without a remainder.

1, 2, 38459

Step-4: Factors of 76938

List of positive integer factors of 76938 that divides 76918 without a remainder.

1, 2, 3, 6, 12823, 25646, 38469

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76918 and 76938. The biggest common factor number is the GCF number.
So the greatest common factor 76918 and 76938 is 2.

Also check out the Least Common Multiple of 76918 and 76938