What is the Greatest Common Factor of 90435 and 90440?

Greatest common factor (GCF) of 90435 and 90440 is 5.

GCF(90435,90440) = 5

We will now calculate the prime factors of 90435 and 90440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90435 and 90440.

How to find the GCF of 90435 and 90440?

We will first find the prime factorization of 90435 and 90440. After we will calculate the factors of 90435 and 90440 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 90440

Prime factors of 90440 are 2, 5, 7, 17, 19. Prime factorization of 90440 in exponential form is:

90440 = 2³ × 5¹ × 7¹ × 17¹ × 19¹

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 90440

List of positive integer factors of 90440 that divides 90435 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 17, 19, 20, 28, 34, 35, 38, 40, 56, 68, 70, 76, 85, 95, 119, 133, 136, 140, 152, 170, 190, 238, 266, 280, 323, 340, 380, 476, 532, 595, 646, 665, 680, 760, 952, 1064, 1190, 1292, 1330, 1615, 2261, 2380, 2584, 2660, 3230, 4522, 4760, 5320, 6460, 9044, 11305, 12920, 18088, 22610, 45220

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90435 and 90440. The biggest common factor number is the GCF number.
So the greatest common factor 90435 and 90440 is 5.

Also check out the Least Common Multiple of 90435 and 90440