What is the Greatest Common Factor of 77894 and 77910?

Greatest common factor (GCF) of 77894 and 77910 is 2.

GCF(77894,77910) = 2

We will now calculate the prime factors of 77894 and 77910, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77894 and 77910.

How to find the GCF of 77894 and 77910?

We will first find the prime factorization of 77894 and 77910. After we will calculate the factors of 77894 and 77910 and find the biggest common factor number .

Step-1: Prime Factorization of 77894

Prime factors of 77894 are 2, 17, 29, 79. Prime factorization of 77894 in exponential form is:

77894 = 2¹ × 17¹ × 29¹ × 79¹

Step-2: Prime Factorization of 77910

Prime factors of 77910 are 2, 3, 5, 7, 53. Prime factorization of 77910 in exponential form is:

77910 = 2¹ × 3¹ × 5¹ × 7² × 53¹

Step-3: Factors of 77894

List of positive integer factors of 77894 that divides 77894 without a remainder.

1, 2, 17, 29, 34, 58, 79, 158, 493, 986, 1343, 2291, 2686, 4582, 38947

Step-4: Factors of 77910

List of positive integer factors of 77910 that divides 77894 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 49, 53, 70, 98, 105, 106, 147, 159, 210, 245, 265, 294, 318, 371, 490, 530, 735, 742, 795, 1113, 1470, 1590, 1855, 2226, 2597, 3710, 5194, 5565, 7791, 11130, 12985, 15582, 25970, 38955

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77894 and 77910. The biggest common factor number is the GCF number.
So the greatest common factor 77894 and 77910 is 2.

Also check out the Least Common Multiple of 77894 and 77910