What is the Greatest Common Factor of 90872 and 90879?

Greatest common factor (GCF) of 90872 and 90879 is 1.

GCF(90872,90879) = 1

We will now calculate the prime factors of 90872 and 90879, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90872 and 90879.

How to find the GCF of 90872 and 90879?

We will first find the prime factorization of 90872 and 90879. After we will calculate the factors of 90872 and 90879 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 90879

Prime factors of 90879 are 3, 30293. Prime factorization of 90879 in exponential form is:

90879 = 3¹ × 30293¹

Step-3: Factors of 90872

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

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

Step-4: Factors of 90879

List of positive integer factors of 90879 that divides 90872 without a remainder.

1, 3, 30293

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90872 and 90879. The biggest common factor number is the GCF number.
So the greatest common factor 90872 and 90879 is 1.

Also check out the Least Common Multiple of 90872 and 90879