What is the Greatest Common Factor of 7862 and 7874?

Greatest common factor (GCF) of 7862 and 7874 is 2.

GCF(7862,7874) = 2

We will now calculate the prime factors of 7862 and 7874, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7862 and 7874.

How to find the GCF of 7862 and 7874?

We will first find the prime factorization of 7862 and 7874. After we will calculate the factors of 7862 and 7874 and find the biggest common factor number .

Step-1: Prime Factorization of 7862

Prime factors of 7862 are 2, 3931. Prime factorization of 7862 in exponential form is:

7862 = 2¹ × 3931¹

Step-2: Prime Factorization of 7874

Prime factors of 7874 are 2, 31, 127. Prime factorization of 7874 in exponential form is:

7874 = 2¹ × 31¹ × 127¹

Step-3: Factors of 7862

List of positive integer factors of 7862 that divides 7862 without a remainder.

1, 2, 3931

Step-4: Factors of 7874

List of positive integer factors of 7874 that divides 7862 without a remainder.

1, 2, 31, 62, 127, 254, 3937

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7862 and 7874. The biggest common factor number is the GCF number.
So the greatest common factor 7862 and 7874 is 2.

Also check out the Least Common Multiple of 7862 and 7874