What is the Greatest Common Factor of 90872 and 90881?

Greatest common factor (GCF) of 90872 and 90881 is 1.

GCF(90872,90881) = 1

We will now calculate the prime factors of 90872 and 90881, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90872 and 90881.

How to find the GCF of 90872 and 90881?

We will first find the prime factorization of 90872 and 90881. After we will calculate the factors of 90872 and 90881 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 90881

Prime factors of 90881 are 7, 12983. Prime factorization of 90881 in exponential form is:

90881 = 7¹ × 12983¹

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 90881

List of positive integer factors of 90881 that divides 90872 without a remainder.

1, 7, 12983

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90872 and 90881. The biggest common factor number is the GCF number.
So the greatest common factor 90872 and 90881 is 1.

Also check out the Least Common Multiple of 90872 and 90881