What is the Greatest Common Factor of 90476 and 90496?

Greatest common factor (GCF) of 90476 and 90496 is 4.

GCF(90476,90496) = 4

We will now calculate the prime factors of 90476 and 90496, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90476 and 90496.

How to find the GCF of 90476 and 90496?

We will first find the prime factorization of 90476 and 90496. After we will calculate the factors of 90476 and 90496 and find the biggest common factor number .

Step-1: Prime Factorization of 90476

Prime factors of 90476 are 2, 22619. Prime factorization of 90476 in exponential form is:

90476 = 2² × 22619¹

Step-2: 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-3: Factors of 90476

List of positive integer factors of 90476 that divides 90476 without a remainder.

1, 2, 4, 22619, 45238

Step-4: Factors of 90496

List of positive integer factors of 90496 that divides 90476 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90476 and 90496. The biggest common factor number is the GCF number.
So the greatest common factor 90476 and 90496 is 4.

Also check out the Least Common Multiple of 90476 and 90496