What is the Greatest Common Factor of 90496 and 90507?

Greatest common factor (GCF) of 90496 and 90507 is 1.

GCF(90496,90507) = 1

We will now calculate the prime factors of 90496 and 90507, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90496 and 90507.

How to find the GCF of 90496 and 90507?

We will first find the prime factorization of 90496 and 90507. After we will calculate the factors of 90496 and 90507 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 90507

Prime factors of 90507 are 3, 30169. Prime factorization of 90507 in exponential form is:

90507 = 3¹ × 30169¹

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 90507

List of positive integer factors of 90507 that divides 90496 without a remainder.

1, 3, 30169

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90496 and 90507. The biggest common factor number is the GCF number.
So the greatest common factor 90496 and 90507 is 1.

Also check out the Least Common Multiple of 90496 and 90507