What is the Greatest Common Factor of 90535 and 90545?

Greatest common factor (GCF) of 90535 and 90545 is 5.

GCF(90535,90545) = 5

We will now calculate the prime factors of 90535 and 90545, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90535 and 90545.

How to find the GCF of 90535 and 90545?

We will first find the prime factorization of 90535 and 90545. After we will calculate the factors of 90535 and 90545 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 90545

Prime factors of 90545 are 5, 7, 13, 199. Prime factorization of 90545 in exponential form is:

90545 = 5¹ × 7¹ × 13¹ × 199¹

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 90545

List of positive integer factors of 90545 that divides 90535 without a remainder.

1, 5, 7, 13, 35, 65, 91, 199, 455, 995, 1393, 2587, 6965, 12935, 18109

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90535 and 90545. The biggest common factor number is the GCF number.
So the greatest common factor 90535 and 90545 is 5.

Also check out the Least Common Multiple of 90535 and 90545