What is the Greatest Common Factor of 90508 and 90519?

Greatest common factor (GCF) of 90508 and 90519 is 11.

GCF(90508,90519) = 11

We will now calculate the prime factors of 90508 and 90519, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90508 and 90519.

How to find the GCF of 90508 and 90519?

We will first find the prime factorization of 90508 and 90519. After we will calculate the factors of 90508 and 90519 and find the biggest common factor number .

Step-1: Prime Factorization of 90508

Prime factors of 90508 are 2, 11, 17. Prime factorization of 90508 in exponential form is:

90508 = 2² × 11³ × 17¹

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 90508

List of positive integer factors of 90508 that divides 90508 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 121, 187, 242, 374, 484, 748, 1331, 2057, 2662, 4114, 5324, 8228, 22627, 45254

Step-4: Factors of 90519

List of positive integer factors of 90519 that divides 90508 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 90508 and 90519. The biggest common factor number is the GCF number.
So the greatest common factor 90508 and 90519 is 11.

Also check out the Least Common Multiple of 90508 and 90519