What is the Greatest Common Factor of 90545 and 90561?

Greatest common factor (GCF) of 90545 and 90561 is 1.

GCF(90545,90561) = 1

We will now calculate the prime factors of 90545 and 90561, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90545 and 90561.

How to find the GCF of 90545 and 90561?

We will first find the prime factorization of 90545 and 90561. After we will calculate the factors of 90545 and 90561 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 90561

Prime factors of 90561 are 3, 30187. Prime factorization of 90561 in exponential form is:

90561 = 3¹ × 30187¹

Step-3: Factors of 90545

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

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

Step-4: Factors of 90561

List of positive integer factors of 90561 that divides 90545 without a remainder.

1, 3, 30187

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90545 and 90561. The biggest common factor number is the GCF number.
So the greatest common factor 90545 and 90561 is 1.

Also check out the Least Common Multiple of 90545 and 90561