What is the Greatest Common Factor of 90858 and 90872?

Greatest common factor (GCF) of 90858 and 90872 is 2.

GCF(90858,90872) = 2

We will now calculate the prime factors of 90858 and 90872, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90858 and 90872.

How to find the GCF of 90858 and 90872?

We will first find the prime factorization of 90858 and 90872. After we will calculate the factors of 90858 and 90872 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 90872

Prime factors of 90872 are 2, 37, 307. Prime factorization of 90872 in exponential form is:

90872 = 2³ × 37¹ × 307¹

Step-3: Factors of 90858

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

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

Step-4: Factors of 90872

List of positive integer factors of 90872 that divides 90858 without a remainder.

1, 2, 4, 8, 37, 74, 148, 296, 307, 614, 1228, 2456, 11359, 22718, 45436

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90858 and 90872. The biggest common factor number is the GCF number.
So the greatest common factor 90858 and 90872 is 2.

Also check out the Least Common Multiple of 90858 and 90872