What is the Greatest Common Factor of 90496 and 90504?

Greatest common factor (GCF) of 90496 and 90504 is 8.

GCF(90496,90504) = 8

We will now calculate the prime factors of 90496 and 90504, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90496 and 90504.

How to find the GCF of 90496 and 90504?

We will first find the prime factorization of 90496 and 90504. After we will calculate the factors of 90496 and 90504 and find the biggest common factor number .

Step-1: Prime Factorization of 90496

Prime factors of 90496 are 2, 7, 101. Prime factorization of 90496 in exponential form is:

90496 = 2⁷ × 7¹ × 101¹

Step-2: 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-3: Factors of 90496

List of positive integer factors of 90496 that divides 90496 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 101, 112, 128, 202, 224, 404, 448, 707, 808, 896, 1414, 1616, 2828, 3232, 5656, 6464, 11312, 12928, 22624, 45248

Step-4: Factors of 90504

List of positive integer factors of 90504 that divides 90496 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90496 and 90504. The biggest common factor number is the GCF number.
So the greatest common factor 90496 and 90504 is 8.

Also check out the Least Common Multiple of 90496 and 90504