What is the Greatest Common Factor of 90850 and 90864?

Greatest common factor (GCF) of 90850 and 90864 is 2.

GCF(90850,90864) = 2

We will now calculate the prime factors of 90850 and 90864, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90850 and 90864.

How to find the GCF of 90850 and 90864?

We will first find the prime factorization of 90850 and 90864. After we will calculate the factors of 90850 and 90864 and find the biggest common factor number .

Step-1: Prime Factorization of 90850

Prime factors of 90850 are 2, 5, 23, 79. Prime factorization of 90850 in exponential form is:

90850 = 2¹ × 5² × 23¹ × 79¹

Step-2: 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-3: Factors of 90850

List of positive integer factors of 90850 that divides 90850 without a remainder.

1, 2, 5, 10, 23, 25, 46, 50, 79, 115, 158, 230, 395, 575, 790, 1150, 1817, 1975, 3634, 3950, 9085, 18170, 45425

Step-4: Factors of 90864

List of positive integer factors of 90864 that divides 90850 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90850 and 90864. The biggest common factor number is the GCF number.
So the greatest common factor 90850 and 90864 is 2.

Also check out the Least Common Multiple of 90850 and 90864