What is the Greatest Common Factor of 47269 and 47286?

Greatest common factor (GCF) of 47269 and 47286 is 1.

GCF(47269,47286) = 1

We will now calculate the prime factors of 47269 and 47286, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47269 and 47286.

How to find the GCF of 47269 and 47286?

We will first find the prime factorization of 47269 and 47286. After we will calculate the factors of 47269 and 47286 and find the biggest common factor number .

Step-1: Prime Factorization of 47269

Prime factors of 47269 are 47269. Prime factorization of 47269 in exponential form is:

47269 = 47269¹

Step-2: Prime Factorization of 47286

Prime factors of 47286 are 2, 3, 37, 71. Prime factorization of 47286 in exponential form is:

47286 = 2¹ × 3² × 37¹ × 71¹

Step-3: Factors of 47269

List of positive integer factors of 47269 that divides 47269 without a remainder.

Step-4: Factors of 47286

List of positive integer factors of 47286 that divides 47269 without a remainder.

1, 2, 3, 6, 9, 18, 37, 71, 74, 111, 142, 213, 222, 333, 426, 639, 666, 1278, 2627, 5254, 7881, 15762, 23643

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47269 and 47286. The biggest common factor number is the GCF number.
So the greatest common factor 47269 and 47286 is 1.

Also check out the Least Common Multiple of 47269 and 47286