What is the Greatest Common Factor of 7874 and 7893?

Greatest common factor (GCF) of 7874 and 7893 is 1.

GCF(7874,7893) = 1

We will now calculate the prime factors of 7874 and 7893, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7874 and 7893.

How to find the GCF of 7874 and 7893?

We will first find the prime factorization of 7874 and 7893. After we will calculate the factors of 7874 and 7893 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 7893

Prime factors of 7893 are 3, 877. Prime factorization of 7893 in exponential form is:

7893 = 3² × 877¹

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 7893

List of positive integer factors of 7893 that divides 7874 without a remainder.

1, 3, 9, 877, 2631

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7874 and 7893. The biggest common factor number is the GCF number.
So the greatest common factor 7874 and 7893 is 1.

Also check out the Least Common Multiple of 7874 and 7893