What is the Greatest Common Factor of 7874 and 7883?

Greatest common factor (GCF) of 7874 and 7883 is 1.

GCF(7874,7883) = 1

We will now calculate the prime factors of 7874 and 7883, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7874 and 7883.

How to find the GCF of 7874 and 7883?

We will first find the prime factorization of 7874 and 7883. After we will calculate the factors of 7874 and 7883 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 7883

Prime factors of 7883 are 7883. Prime factorization of 7883 in exponential form is:

7883 = 7883¹

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 7883

List of positive integer factors of 7883 that divides 7874 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7874 and 7883. The biggest common factor number is the GCF number.
So the greatest common factor 7874 and 7883 is 1.

Also check out the Least Common Multiple of 7874 and 7883