What is the Greatest Common Factor of 70889 and 70903?

Greatest common factor (GCF) of 70889 and 70903 is 7.

GCF(70889,70903) = 7

We will now calculate the prime factors of 70889 and 70903, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70889 and 70903.

How to find the GCF of 70889 and 70903?

We will first find the prime factorization of 70889 and 70903. After we will calculate the factors of 70889 and 70903 and find the biggest common factor number .

Step-1: Prime Factorization of 70889

Prime factors of 70889 are 7, 13, 19, 41. Prime factorization of 70889 in exponential form is:

70889 = 7¹ × 13¹ × 19¹ × 41¹

Step-2: Prime Factorization of 70903

Prime factors of 70903 are 7, 1447. Prime factorization of 70903 in exponential form is:

70903 = 7² × 1447¹

Step-3: Factors of 70889

List of positive integer factors of 70889 that divides 70889 without a remainder.

1, 7, 13, 19, 41, 91, 133, 247, 287, 533, 779, 1729, 3731, 5453, 10127

Step-4: Factors of 70903

List of positive integer factors of 70903 that divides 70889 without a remainder.

1, 7, 49, 1447, 10129

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70889 and 70903. The biggest common factor number is the GCF number.
So the greatest common factor 70889 and 70903 is 7.

Also check out the Least Common Multiple of 70889 and 70903