What is the Greatest Common Factor of 7888 and 7903?

Greatest common factor (GCF) of 7888 and 7903 is 1.

GCF(7888,7903) = 1

We will now calculate the prime factors of 7888 and 7903, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7888 and 7903.

How to find the GCF of 7888 and 7903?

We will first find the prime factorization of 7888 and 7903. After we will calculate the factors of 7888 and 7903 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 7903

Prime factors of 7903 are 7, 1129. Prime factorization of 7903 in exponential form is:

7903 = 7¹ × 1129¹

Step-3: Factors of 7888

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

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

Step-4: Factors of 7903

List of positive integer factors of 7903 that divides 7888 without a remainder.

1, 7, 1129

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7888 and 7903. The biggest common factor number is the GCF number.
So the greatest common factor 7888 and 7903 is 1.

Also check out the Least Common Multiple of 7888 and 7903