What is the Greatest Common Factor of 90864 and 90871?

Greatest common factor (GCF) of 90864 and 90871 is 1.

GCF(90864,90871) = 1

We will now calculate the prime factors of 90864 and 90871, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90864 and 90871.

How to find the GCF of 90864 and 90871?

We will first find the prime factorization of 90864 and 90871. After we will calculate the factors of 90864 and 90871 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 90871

Prime factors of 90871 are 11, 751. Prime factorization of 90871 in exponential form is:

90871 = 11² × 751¹

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 90871

List of positive integer factors of 90871 that divides 90864 without a remainder.

1, 11, 121, 751, 8261

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90864 and 90871. The biggest common factor number is the GCF number.
So the greatest common factor 90864 and 90871 is 1.

Also check out the Least Common Multiple of 90864 and 90871