What is the Greatest Common Factor of 90840 and 90849?

Greatest common factor (GCF) of 90840 and 90849 is 3.

GCF(90840,90849) = 3

We will now calculate the prime factors of 90840 and 90849, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90840 and 90849.

How to find the GCF of 90840 and 90849?

We will first find the prime factorization of 90840 and 90849. After we will calculate the factors of 90840 and 90849 and find the biggest common factor number .

Step-1: Prime Factorization of 90840

Prime factors of 90840 are 2, 3, 5, 757. Prime factorization of 90840 in exponential form is:

90840 = 2³ × 3¹ × 5¹ × 757¹

Step-2: 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-3: Factors of 90840

List of positive integer factors of 90840 that divides 90840 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 757, 1514, 2271, 3028, 3785, 4542, 6056, 7570, 9084, 11355, 15140, 18168, 22710, 30280, 45420

Step-4: Factors of 90849

List of positive integer factors of 90849 that divides 90840 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90840 and 90849. The biggest common factor number is the GCF number.
So the greatest common factor 90840 and 90849 is 3.

Also check out the Least Common Multiple of 90840 and 90849