What is the Greatest Common Factor of 90849 and 90859?

Greatest common factor (GCF) of 90849 and 90859 is 1.

GCF(90849,90859) = 1

We will now calculate the prime factors of 90849 and 90859, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90849 and 90859.

How to find the GCF of 90849 and 90859?

We will first find the prime factorization of 90849 and 90859. After we will calculate the factors of 90849 and 90859 and find the biggest common factor number .

Step-1: Prime Factorization of 90849

Prime factors of 90849 are 3, 11, 2753. Prime factorization of 90849 in exponential form is:

90849 = 3¹ × 11¹ × 2753¹

Step-2: Prime Factorization of 90859

Prime factors of 90859 are 43, 2113. Prime factorization of 90859 in exponential form is:

90859 = 43¹ × 2113¹

Step-3: Factors of 90849

List of positive integer factors of 90849 that divides 90849 without a remainder.

1, 3, 11, 33, 2753, 8259, 30283

Step-4: Factors of 90859

List of positive integer factors of 90859 that divides 90849 without a remainder.

1, 43, 2113

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90849 and 90859. The biggest common factor number is the GCF number.
So the greatest common factor 90849 and 90859 is 1.

Also check out the Least Common Multiple of 90849 and 90859