What is the Greatest Common Factor of 90864 and 90883?

Greatest common factor (GCF) of 90864 and 90883 is 1.

GCF(90864,90883) = 1

We will now calculate the prime factors of 90864 and 90883, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90864 and 90883.

How to find the GCF of 90864 and 90883?

We will first find the prime factorization of 90864 and 90883. After we will calculate the factors of 90864 and 90883 and find the biggest common factor number .

Step-1: Prime Factorization of 90864

Prime factors of 90864 are 2, 3, 631. Prime factorization of 90864 in exponential form is:

90864 = 2⁴ × 3² × 631¹

Step-2: Prime Factorization of 90883

Prime factors of 90883 are 13, 6991. Prime factorization of 90883 in exponential form is:

90883 = 13¹ × 6991¹

Step-3: Factors of 90864

List of positive integer factors of 90864 that divides 90864 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 631, 1262, 1893, 2524, 3786, 5048, 5679, 7572, 10096, 11358, 15144, 22716, 30288, 45432

Step-4: Factors of 90883

List of positive integer factors of 90883 that divides 90864 without a remainder.

1, 13, 6991

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90864 and 90883. The biggest common factor number is the GCF number.
So the greatest common factor 90864 and 90883 is 1.

Also check out the Least Common Multiple of 90864 and 90883