What is the Greatest Common Factor of 90535 and 90540?

Greatest common factor (GCF) of 90535 and 90540 is 5.

GCF(90535,90540) = 5

We will now calculate the prime factors of 90535 and 90540, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90535 and 90540.

How to find the GCF of 90535 and 90540?

We will first find the prime factorization of 90535 and 90540. After we will calculate the factors of 90535 and 90540 and find the biggest common factor number .

Step-1: Prime Factorization of 90535

Prime factors of 90535 are 5, 19, 953. Prime factorization of 90535 in exponential form is:

90535 = 5¹ × 19¹ × 953¹

Step-2: Prime Factorization of 90540

Prime factors of 90540 are 2, 3, 5, 503. Prime factorization of 90540 in exponential form is:

90540 = 2² × 3² × 5¹ × 503¹

Step-3: Factors of 90535

List of positive integer factors of 90535 that divides 90535 without a remainder.

1, 5, 19, 95, 953, 4765, 18107

Step-4: Factors of 90540

List of positive integer factors of 90540 that divides 90535 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180, 503, 1006, 1509, 2012, 2515, 3018, 4527, 5030, 6036, 7545, 9054, 10060, 15090, 18108, 22635, 30180, 45270

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90535 and 90540. The biggest common factor number is the GCF number.
So the greatest common factor 90535 and 90540 is 5.

Also check out the Least Common Multiple of 90535 and 90540