What is the Greatest Common Factor of 90504 and 90516?

Greatest common factor (GCF) of 90504 and 90516 is 12.

GCF(90504,90516) = 12

We will now calculate the prime factors of 90504 and 90516, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90504 and 90516.

How to find the GCF of 90504 and 90516?

We will first find the prime factorization of 90504 and 90516. After we will calculate the factors of 90504 and 90516 and find the biggest common factor number .

Step-1: Prime Factorization of 90504

Prime factors of 90504 are 2, 3, 419. Prime factorization of 90504 in exponential form is:

90504 = 2³ × 3³ × 419¹

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 90504

List of positive integer factors of 90504 that divides 90504 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216, 419, 838, 1257, 1676, 2514, 3352, 3771, 5028, 7542, 10056, 11313, 15084, 22626, 30168, 45252

Step-4: Factors of 90516

List of positive integer factors of 90516 that divides 90504 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 90504 and 90516. The biggest common factor number is the GCF number.
So the greatest common factor 90504 and 90516 is 12.

Also check out the Least Common Multiple of 90504 and 90516