What is the Greatest Common Factor of 90496 and 90505?

Greatest common factor (GCF) of 90496 and 90505 is 1.

GCF(90496,90505) = 1

We will now calculate the prime factors of 90496 and 90505, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90496 and 90505.

How to find the GCF of 90496 and 90505?

We will first find the prime factorization of 90496 and 90505. After we will calculate the factors of 90496 and 90505 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 90505

Prime factors of 90505 are 5, 23, 787. Prime factorization of 90505 in exponential form is:

90505 = 5¹ × 23¹ × 787¹

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 90505

List of positive integer factors of 90505 that divides 90496 without a remainder.

1, 5, 23, 115, 787, 3935, 18101

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90496 and 90505. The biggest common factor number is the GCF number.
So the greatest common factor 90496 and 90505 is 1.

Also check out the Least Common Multiple of 90496 and 90505