What is the Greatest Common Factor of 90545 and 90565?

Greatest common factor (GCF) of 90545 and 90565 is 5.

GCF(90545,90565) = 5

We will now calculate the prime factors of 90545 and 90565, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90545 and 90565.

How to find the GCF of 90545 and 90565?

We will first find the prime factorization of 90545 and 90565. After we will calculate the factors of 90545 and 90565 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 90565

Prime factors of 90565 are 5, 59, 307. Prime factorization of 90565 in exponential form is:

90565 = 5¹ × 59¹ × 307¹

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 90565

List of positive integer factors of 90565 that divides 90545 without a remainder.

1, 5, 59, 295, 307, 1535, 18113

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90545 and 90565. The biggest common factor number is the GCF number.
So the greatest common factor 90545 and 90565 is 5.

Also check out the Least Common Multiple of 90545 and 90565