What is the Greatest Common Factor of 78274 and 78289?

Greatest common factor (GCF) of 78274 and 78289 is 1.

GCF(78274,78289) = 1

We will now calculate the prime factors of 78274 and 78289, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78274 and 78289.

How to find the GCF of 78274 and 78289?

We will first find the prime factorization of 78274 and 78289. After we will calculate the factors of 78274 and 78289 and find the biggest common factor number .

Step-1: Prime Factorization of 78274

Prime factors of 78274 are 2, 7, 5591. Prime factorization of 78274 in exponential form is:

78274 = 2¹ × 7¹ × 5591¹

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 78274

List of positive integer factors of 78274 that divides 78274 without a remainder.

1, 2, 7, 14, 5591, 11182, 39137

Step-4: Factors of 78289

List of positive integer factors of 78289 that divides 78274 without a remainder.

1, 79, 991

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78274 and 78289. The biggest common factor number is the GCF number.
So the greatest common factor 78274 and 78289 is 1.

Also check out the Least Common Multiple of 78274 and 78289