What is the Greatest Common Factor of 90852 and 90869?

Greatest common factor (GCF) of 90852 and 90869 is 1.

GCF(90852,90869) = 1

We will now calculate the prime factors of 90852 and 90869, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90852 and 90869.

How to find the GCF of 90852 and 90869?

We will first find the prime factorization of 90852 and 90869. After we will calculate the factors of 90852 and 90869 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 90869

Prime factors of 90869 are 89, 1021. Prime factorization of 90869 in exponential form is:

90869 = 89¹ × 1021¹

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 90869

List of positive integer factors of 90869 that divides 90852 without a remainder.

1, 89, 1021

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90852 and 90869. The biggest common factor number is the GCF number.
So the greatest common factor 90852 and 90869 is 1.

Also check out the Least Common Multiple of 90852 and 90869