What is the Greatest Common Factor of 7874 and 7880?

Greatest common factor (GCF) of 7874 and 7880 is 2.

GCF(7874,7880) = 2

We will now calculate the prime factors of 7874 and 7880, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7874 and 7880.

How to find the GCF of 7874 and 7880?

We will first find the prime factorization of 7874 and 7880. After we will calculate the factors of 7874 and 7880 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 7880

Prime factors of 7880 are 2, 5, 197. Prime factorization of 7880 in exponential form is:

7880 = 2³ × 5¹ × 197¹

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 7880

List of positive integer factors of 7880 that divides 7874 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 197, 394, 788, 985, 1576, 1970, 3940

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7874 and 7880. The biggest common factor number is the GCF number.
So the greatest common factor 7874 and 7880 is 2.

Also check out the Least Common Multiple of 7874 and 7880