What is the Greatest Common Factor of 90365 and 90376?

Greatest common factor (GCF) of 90365 and 90376 is 11.

GCF(90365,90376) = 11

We will now calculate the prime factors of 90365 and 90376, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90365 and 90376.

How to find the GCF of 90365 and 90376?

We will first find the prime factorization of 90365 and 90376. After we will calculate the factors of 90365 and 90376 and find the biggest common factor number .

Step-1: Prime Factorization of 90365

Prime factors of 90365 are 5, 11, 31, 53. Prime factorization of 90365 in exponential form is:

90365 = 5¹ × 11¹ × 31¹ × 53¹

Step-2: Prime Factorization of 90376

Prime factors of 90376 are 2, 11, 13, 79. Prime factorization of 90376 in exponential form is:

90376 = 2³ × 11¹ × 13¹ × 79¹

Step-3: Factors of 90365

List of positive integer factors of 90365 that divides 90365 without a remainder.

1, 5, 11, 31, 53, 55, 155, 265, 341, 583, 1643, 1705, 2915, 8215, 18073

Step-4: Factors of 90376

List of positive integer factors of 90376 that divides 90365 without a remainder.

1, 2, 4, 8, 11, 13, 22, 26, 44, 52, 79, 88, 104, 143, 158, 286, 316, 572, 632, 869, 1027, 1144, 1738, 2054, 3476, 4108, 6952, 8216, 11297, 22594, 45188

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90365 and 90376. The biggest common factor number is the GCF number.
So the greatest common factor 90365 and 90376 is 11.

Also check out the Least Common Multiple of 90365 and 90376