What is the Greatest Common Factor of 7874 and 7886?

Greatest common factor (GCF) of 7874 and 7886 is 2.

GCF(7874,7886) = 2

We will now calculate the prime factors of 7874 and 7886, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7874 and 7886.

How to find the GCF of 7874 and 7886?

We will first find the prime factorization of 7874 and 7886. After we will calculate the factors of 7874 and 7886 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 7886

Prime factors of 7886 are 2, 3943. Prime factorization of 7886 in exponential form is:

7886 = 2¹ × 3943¹

Step-3: Factors of 7874

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

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

Step-4: Factors of 7886

List of positive integer factors of 7886 that divides 7874 without a remainder.

1, 2, 3943

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7874 and 7886. The biggest common factor number is the GCF number.
So the greatest common factor 7874 and 7886 is 2.

Also check out the Least Common Multiple of 7874 and 7886