What is the Greatest Common Factor of 42849 and 42867?

Greatest common factor (GCF) of 42849 and 42867 is 9.

GCF(42849,42867) = 9

We will now calculate the prime factors of 42849 and 42867, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42849 and 42867.

How to find the GCF of 42849 and 42867?

We will first find the prime factorization of 42849 and 42867. After we will calculate the factors of 42849 and 42867 and find the biggest common factor number .

Step-1: Prime Factorization of 42849

Prime factors of 42849 are 3, 23. Prime factorization of 42849 in exponential form is:

42849 = 3⁴ × 23²

Step-2: Prime Factorization of 42867

Prime factors of 42867 are 3, 11, 433. Prime factorization of 42867 in exponential form is:

42867 = 3² × 11¹ × 433¹

Step-3: Factors of 42849

List of positive integer factors of 42849 that divides 42849 without a remainder.

1, 3, 9, 23, 27, 69, 81, 207, 529, 621, 1587, 1863, 4761, 14283

Step-4: Factors of 42867

List of positive integer factors of 42867 that divides 42849 without a remainder.

1, 3, 9, 11, 33, 99, 433, 1299, 3897, 4763, 14289

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42849 and 42867. The biggest common factor number is the GCF number.
So the greatest common factor 42849 and 42867 is 9.

Also check out the Least Common Multiple of 42849 and 42867