What is the Greatest Common Factor of 90849 and 90853?

Greatest common factor (GCF) of 90849 and 90853 is 1.

GCF(90849,90853) = 1

We will now calculate the prime factors of 90849 and 90853, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90849 and 90853.

How to find the GCF of 90849 and 90853?

We will first find the prime factorization of 90849 and 90853. After we will calculate the factors of 90849 and 90853 and find the biggest common factor number .

Step-1: Prime Factorization of 90849

Prime factors of 90849 are 3, 11, 2753. Prime factorization of 90849 in exponential form is:

90849 = 3¹ × 11¹ × 2753¹

Step-2: Prime Factorization of 90853

Prime factors of 90853 are 7, 12979. Prime factorization of 90853 in exponential form is:

90853 = 7¹ × 12979¹

Step-3: Factors of 90849

List of positive integer factors of 90849 that divides 90849 without a remainder.

1, 3, 11, 33, 2753, 8259, 30283

Step-4: Factors of 90853

List of positive integer factors of 90853 that divides 90849 without a remainder.

1, 7, 12979

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90849 and 90853. The biggest common factor number is the GCF number.
So the greatest common factor 90849 and 90853 is 1.

Also check out the Least Common Multiple of 90849 and 90853