What is the Greatest Common Factor of 7910 and 7926?

Greatest common factor (GCF) of 7910 and 7926 is 2.

GCF(7910,7926) = 2

We will now calculate the prime factors of 7910 and 7926, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7910 and 7926.

How to find the GCF of 7910 and 7926?

We will first find the prime factorization of 7910 and 7926. After we will calculate the factors of 7910 and 7926 and find the biggest common factor number .

Step-1: Prime Factorization of 7910

Prime factors of 7910 are 2, 5, 7, 113. Prime factorization of 7910 in exponential form is:

7910 = 2¹ × 5¹ × 7¹ × 113¹

Step-2: Prime Factorization of 7926

Prime factors of 7926 are 2, 3, 1321. Prime factorization of 7926 in exponential form is:

7926 = 2¹ × 3¹ × 1321¹

Step-3: Factors of 7910

List of positive integer factors of 7910 that divides 7910 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 113, 226, 565, 791, 1130, 1582, 3955

Step-4: Factors of 7926

List of positive integer factors of 7926 that divides 7910 without a remainder.

1, 2, 3, 6, 1321, 2642, 3963

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7910 and 7926. The biggest common factor number is the GCF number.
So the greatest common factor 7910 and 7926 is 2.

Also check out the Least Common Multiple of 7910 and 7926