What is the Greatest Common Factor of 90509 and 90516?

Greatest common factor (GCF) of 90509 and 90516 is 1.

GCF(90509,90516) = 1

We will now calculate the prime factors of 90509 and 90516, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90509 and 90516.

How to find the GCF of 90509 and 90516?

We will first find the prime factorization of 90509 and 90516. After we will calculate the factors of 90509 and 90516 and find the biggest common factor number .

Step-1: Prime Factorization of 90509

Prime factors of 90509 are 29, 3121. Prime factorization of 90509 in exponential form is:

90509 = 29¹ × 3121¹

Step-2: Prime Factorization of 90516

Prime factors of 90516 are 2, 3, 19, 397. Prime factorization of 90516 in exponential form is:

90516 = 2² × 3¹ × 19¹ × 397¹

Step-3: Factors of 90509

List of positive integer factors of 90509 that divides 90509 without a remainder.

1, 29, 3121

Step-4: Factors of 90516

List of positive integer factors of 90516 that divides 90509 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228, 397, 794, 1191, 1588, 2382, 4764, 7543, 15086, 22629, 30172, 45258

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90509 and 90516. The biggest common factor number is the GCF number.
So the greatest common factor 90509 and 90516 is 1.

Also check out the Least Common Multiple of 90509 and 90516