What is the Greatest Common Factor of 90496 and 90502?

Greatest common factor (GCF) of 90496 and 90502 is 2.

GCF(90496,90502) = 2

We will now calculate the prime factors of 90496 and 90502, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90496 and 90502.

How to find the GCF of 90496 and 90502?

We will first find the prime factorization of 90496 and 90502. After we will calculate the factors of 90496 and 90502 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 90502

Prime factors of 90502 are 2, 37, 1223. Prime factorization of 90502 in exponential form is:

90502 = 2¹ × 37¹ × 1223¹

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 90502

List of positive integer factors of 90502 that divides 90496 without a remainder.

1, 2, 37, 74, 1223, 2446, 45251

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90496 and 90502. The biggest common factor number is the GCF number.
So the greatest common factor 90496 and 90502 is 2.

Also check out the Least Common Multiple of 90496 and 90502