What is the Greatest Common Factor of 90435 and 90450?

Greatest common factor (GCF) of 90435 and 90450 is 15.

GCF(90435,90450) = 15

We will now calculate the prime factors of 90435 and 90450, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90435 and 90450.

How to find the GCF of 90435 and 90450?

We will first find the prime factorization of 90435 and 90450. After we will calculate the factors of 90435 and 90450 and find the biggest common factor number .

Step-1: Prime Factorization of 90435

Prime factors of 90435 are 3, 5, 6029. Prime factorization of 90435 in exponential form is:

90435 = 3¹ × 5¹ × 6029¹

Step-2: Prime Factorization of 90450

Prime factors of 90450 are 2, 3, 5, 67. Prime factorization of 90450 in exponential form is:

90450 = 2¹ × 3³ × 5² × 67¹

Step-3: Factors of 90435

List of positive integer factors of 90435 that divides 90435 without a remainder.

1, 3, 5, 15, 6029, 18087, 30145

Step-4: Factors of 90450

List of positive integer factors of 90450 that divides 90435 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 67, 75, 90, 134, 135, 150, 201, 225, 270, 335, 402, 450, 603, 670, 675, 1005, 1206, 1350, 1675, 1809, 2010, 3015, 3350, 3618, 5025, 6030, 9045, 10050, 15075, 18090, 30150, 45225

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90435 and 90450. The biggest common factor number is the GCF number.
So the greatest common factor 90435 and 90450 is 15.

Also check out the Least Common Multiple of 90435 and 90450