What is the Greatest Common Factor of 90506 and 90519?

Greatest common factor (GCF) of 90506 and 90519 is 13.

GCF(90506,90519) = 13

We will now calculate the prime factors of 90506 and 90519, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90506 and 90519.

How to find the GCF of 90506 and 90519?

We will first find the prime factorization of 90506 and 90519. After we will calculate the factors of 90506 and 90519 and find the biggest common factor number .

Step-1: Prime Factorization of 90506

Prime factors of 90506 are 2, 13, 59. Prime factorization of 90506 in exponential form is:

90506 = 2¹ × 13¹ × 59²

Step-2: Prime Factorization of 90519

Prime factors of 90519 are 3, 11, 13, 211. Prime factorization of 90519 in exponential form is:

90519 = 3¹ × 11¹ × 13¹ × 211¹

Step-3: Factors of 90506

List of positive integer factors of 90506 that divides 90506 without a remainder.

1, 2, 13, 26, 59, 118, 767, 1534, 3481, 6962, 45253

Step-4: Factors of 90519

List of positive integer factors of 90519 that divides 90506 without a remainder.

1, 3, 11, 13, 33, 39, 143, 211, 429, 633, 2321, 2743, 6963, 8229, 30173

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90506 and 90519. The biggest common factor number is the GCF number.
So the greatest common factor 90506 and 90519 is 13.

Also check out the Least Common Multiple of 90506 and 90519