What is the Greatest Common Factor of 7910 and 7914?

Greatest common factor (GCF) of 7910 and 7914 is 2.

GCF(7910,7914) = 2

We will now calculate the prime factors of 7910 and 7914, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7910 and 7914.

How to find the GCF of 7910 and 7914?

We will first find the prime factorization of 7910 and 7914. After we will calculate the factors of 7910 and 7914 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 7914

Prime factors of 7914 are 2, 3, 1319. Prime factorization of 7914 in exponential form is:

7914 = 2¹ × 3¹ × 1319¹

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 7914

List of positive integer factors of 7914 that divides 7910 without a remainder.

1, 2, 3, 6, 1319, 2638, 3957

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7910 and 7914. The biggest common factor number is the GCF number.
So the greatest common factor 7910 and 7914 is 2.

Also check out the Least Common Multiple of 7910 and 7914