What is the Greatest Common Factor of 90825 and 90840?

Greatest common factor (GCF) of 90825 and 90840 is 15.

GCF(90825,90840) = 15

We will now calculate the prime factors of 90825 and 90840, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90825 and 90840.

How to find the GCF of 90825 and 90840?

We will first find the prime factorization of 90825 and 90840. After we will calculate the factors of 90825 and 90840 and find the biggest common factor number .

Step-1: Prime Factorization of 90825

Prime factors of 90825 are 3, 5, 7, 173. Prime factorization of 90825 in exponential form is:

90825 = 3¹ × 5² × 7¹ × 173¹

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 90825

List of positive integer factors of 90825 that divides 90825 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 173, 175, 519, 525, 865, 1211, 2595, 3633, 4325, 6055, 12975, 18165, 30275

Step-4: Factors of 90840

List of positive integer factors of 90840 that divides 90825 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 90825 and 90840. The biggest common factor number is the GCF number.
So the greatest common factor 90825 and 90840 is 15.

Also check out the Least Common Multiple of 90825 and 90840