What is the Greatest Common Factor of 90496 and 90506?

Greatest common factor (GCF) of 90496 and 90506 is 2.

GCF(90496,90506) = 2

We will now calculate the prime factors of 90496 and 90506, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90496 and 90506.

How to find the GCF of 90496 and 90506?

We will first find the prime factorization of 90496 and 90506. After we will calculate the factors of 90496 and 90506 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 90506

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

90506 = 2¹ × 13¹ × 59²

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 90506

List of positive integer factors of 90506 that divides 90496 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90496 and 90506. The biggest common factor number is the GCF number.
So the greatest common factor 90496 and 90506 is 2.

Also check out the Least Common Multiple of 90496 and 90506