What is the Greatest Common Factor of 84274 and 84279?

Greatest common factor (GCF) of 84274 and 84279 is 1.

GCF(84274,84279) = 1

We will now calculate the prime factors of 84274 and 84279, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84274 and 84279.

How to find the GCF of 84274 and 84279?

We will first find the prime factorization of 84274 and 84279. After we will calculate the factors of 84274 and 84279 and find the biggest common factor number .

Step-1: Prime Factorization of 84274

Prime factors of 84274 are 2, 29, 1453. Prime factorization of 84274 in exponential form is:

84274 = 2¹ × 29¹ × 1453¹

Step-2: Prime Factorization of 84279

Prime factors of 84279 are 3, 13, 2161. Prime factorization of 84279 in exponential form is:

84279 = 3¹ × 13¹ × 2161¹

Step-3: Factors of 84274

List of positive integer factors of 84274 that divides 84274 without a remainder.

1, 2, 29, 58, 1453, 2906, 42137

Step-4: Factors of 84279

List of positive integer factors of 84279 that divides 84274 without a remainder.

1, 3, 13, 39, 2161, 6483, 28093

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84274 and 84279. The biggest common factor number is the GCF number.
So the greatest common factor 84274 and 84279 is 1.

Also check out the Least Common Multiple of 84274 and 84279