What is the Greatest Common Factor of 70889 and 70901?

Greatest common factor (GCF) of 70889 and 70901 is 1.

GCF(70889,70901) = 1

We will now calculate the prime factors of 70889 and 70901, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70889 and 70901.

How to find the GCF of 70889 and 70901?

We will first find the prime factorization of 70889 and 70901. After we will calculate the factors of 70889 and 70901 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 70901

Prime factors of 70901 are 70901. Prime factorization of 70901 in exponential form is:

70901 = 70901¹

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 70901

List of positive integer factors of 70901 that divides 70889 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70889 and 70901. The biggest common factor number is the GCF number.
So the greatest common factor 70889 and 70901 is 1.

Also check out the Least Common Multiple of 70889 and 70901