What is the Greatest Common Factor of 90852 and 90856?

Greatest common factor (GCF) of 90852 and 90856 is 4.

GCF(90852,90856) = 4

We will now calculate the prime factors of 90852 and 90856, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90852 and 90856.

How to find the GCF of 90852 and 90856?

We will first find the prime factorization of 90852 and 90856. After we will calculate the factors of 90852 and 90856 and find the biggest common factor number .

Step-1: Prime Factorization of 90852

Prime factors of 90852 are 2, 3, 67, 113. Prime factorization of 90852 in exponential form is:

90852 = 2² × 3¹ × 67¹ × 113¹

Step-2: Prime Factorization of 90856

Prime factors of 90856 are 2, 41, 277. Prime factorization of 90856 in exponential form is:

90856 = 2³ × 41¹ × 277¹

Step-3: Factors of 90852

List of positive integer factors of 90852 that divides 90852 without a remainder.

1, 2, 3, 4, 6, 12, 67, 113, 134, 201, 226, 268, 339, 402, 452, 678, 804, 1356, 7571, 15142, 22713, 30284, 45426

Step-4: Factors of 90856

List of positive integer factors of 90856 that divides 90852 without a remainder.

1, 2, 4, 8, 41, 82, 164, 277, 328, 554, 1108, 2216, 11357, 22714, 45428

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90852 and 90856. The biggest common factor number is the GCF number.
So the greatest common factor 90852 and 90856 is 4.

Also check out the Least Common Multiple of 90852 and 90856