What is the Greatest Common Factor of 90350 and 90368?

Greatest common factor (GCF) of 90350 and 90368 is 2.

GCF(90350,90368) = 2

We will now calculate the prime factors of 90350 and 90368, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90350 and 90368.

How to find the GCF of 90350 and 90368?

We will first find the prime factorization of 90350 and 90368. After we will calculate the factors of 90350 and 90368 and find the biggest common factor number .

Step-1: Prime Factorization of 90350

Prime factors of 90350 are 2, 5, 13, 139. Prime factorization of 90350 in exponential form is:

90350 = 2¹ × 5² × 13¹ × 139¹

Step-2: Prime Factorization of 90368

Prime factors of 90368 are 2, 353. Prime factorization of 90368 in exponential form is:

90368 = 2⁸ × 353¹

Step-3: Factors of 90350

List of positive integer factors of 90350 that divides 90350 without a remainder.

1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 139, 278, 325, 650, 695, 1390, 1807, 3475, 3614, 6950, 9035, 18070, 45175

Step-4: Factors of 90368

List of positive integer factors of 90368 that divides 90350 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 353, 706, 1412, 2824, 5648, 11296, 22592, 45184

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90350 and 90368. The biggest common factor number is the GCF number.
So the greatest common factor 90350 and 90368 is 2.

Also check out the Least Common Multiple of 90350 and 90368