What is the Greatest Common Factor of 90849 and 90858?

Greatest common factor (GCF) of 90849 and 90858 is 3.

GCF(90849,90858) = 3

We will now calculate the prime factors of 90849 and 90858, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90849 and 90858.

How to find the GCF of 90849 and 90858?

We will first find the prime factorization of 90849 and 90858. After we will calculate the factors of 90849 and 90858 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 90858

Prime factors of 90858 are 2, 3, 19, 797. Prime factorization of 90858 in exponential form is:

90858 = 2¹ × 3¹ × 19¹ × 797¹

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 90858

List of positive integer factors of 90858 that divides 90849 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 797, 1594, 2391, 4782, 15143, 30286, 45429

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90849 and 90858. The biggest common factor number is the GCF number.
So the greatest common factor 90849 and 90858 is 3.

Also check out the Least Common Multiple of 90849 and 90858