What is the Greatest Common Factor of 7874 and 7888?

Greatest common factor (GCF) of 7874 and 7888 is 2.

GCF(7874,7888) = 2

We will now calculate the prime factors of 7874 and 7888, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7874 and 7888.

How to find the GCF of 7874 and 7888?

We will first find the prime factorization of 7874 and 7888. After we will calculate the factors of 7874 and 7888 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 7888

Prime factors of 7888 are 2, 17, 29. Prime factorization of 7888 in exponential form is:

7888 = 2⁴ × 17¹ × 29¹

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 7888

List of positive integer factors of 7888 that divides 7874 without a remainder.

1, 2, 4, 8, 16, 17, 29, 34, 58, 68, 116, 136, 232, 272, 464, 493, 986, 1972, 3944

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7874 and 7888. The biggest common factor number is the GCF number.
So the greatest common factor 7874 and 7888 is 2.

Also check out the Least Common Multiple of 7874 and 7888