What is the Greatest Common Factor of 90828 and 90840?

Greatest common factor (GCF) of 90828 and 90840 is 12.

GCF(90828,90840) = 12

We will now calculate the prime factors of 90828 and 90840, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90828 and 90840.

How to find the GCF of 90828 and 90840?

We will first find the prime factorization of 90828 and 90840. After we will calculate the factors of 90828 and 90840 and find the biggest common factor number .

Step-1: Prime Factorization of 90828

Prime factors of 90828 are 2, 3, 29. Prime factorization of 90828 in exponential form is:

90828 = 2² × 3³ × 29²

Step-2: 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-3: Factors of 90828

List of positive integer factors of 90828 that divides 90828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 29, 36, 54, 58, 87, 108, 116, 174, 261, 348, 522, 783, 841, 1044, 1566, 1682, 2523, 3132, 3364, 5046, 7569, 10092, 15138, 22707, 30276, 45414

Step-4: Factors of 90840

List of positive integer factors of 90840 that divides 90828 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90828 and 90840. The biggest common factor number is the GCF number.
So the greatest common factor 90828 and 90840 is 12.

Also check out the Least Common Multiple of 90828 and 90840