What is the Greatest Common Factor of 78281 and 78289?

Greatest common factor (GCF) of 78281 and 78289 is 1.

GCF(78281,78289) = 1

We will now calculate the prime factors of 78281 and 78289, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78281 and 78289.

How to find the GCF of 78281 and 78289?

We will first find the prime factorization of 78281 and 78289. After we will calculate the factors of 78281 and 78289 and find the biggest common factor number .

Step-1: Prime Factorization of 78281

Prime factors of 78281 are 7, 53, 211. Prime factorization of 78281 in exponential form is:

78281 = 7¹ × 53¹ × 211¹

Step-2: Prime Factorization of 78289

Prime factors of 78289 are 79, 991. Prime factorization of 78289 in exponential form is:

78289 = 79¹ × 991¹

Step-3: Factors of 78281

List of positive integer factors of 78281 that divides 78281 without a remainder.

1, 7, 53, 211, 371, 1477, 11183

Step-4: Factors of 78289

List of positive integer factors of 78289 that divides 78281 without a remainder.

1, 79, 991

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78281 and 78289. The biggest common factor number is the GCF number.
So the greatest common factor 78281 and 78289 is 1.

Also check out the Least Common Multiple of 78281 and 78289