What is the Greatest Common Factor of 90441 and 90454?

Greatest common factor (GCF) of 90441 and 90454 is 13.

GCF(90441,90454) = 13

We will now calculate the prime factors of 90441 and 90454, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90441 and 90454.

How to find the GCF of 90441 and 90454?

We will first find the prime factorization of 90441 and 90454. After we will calculate the factors of 90441 and 90454 and find the biggest common factor number .

Step-1: Prime Factorization of 90441

Prime factors of 90441 are 3, 13, 773. Prime factorization of 90441 in exponential form is:

90441 = 3² × 13¹ × 773¹

Step-2: Prime Factorization of 90454

Prime factors of 90454 are 2, 7, 13, 71. Prime factorization of 90454 in exponential form is:

90454 = 2¹ × 7² × 13¹ × 71¹

Step-3: Factors of 90441

List of positive integer factors of 90441 that divides 90441 without a remainder.

1, 3, 9, 13, 39, 117, 773, 2319, 6957, 10049, 30147

Step-4: Factors of 90454

List of positive integer factors of 90454 that divides 90441 without a remainder.

1, 2, 7, 13, 14, 26, 49, 71, 91, 98, 142, 182, 497, 637, 923, 994, 1274, 1846, 3479, 6461, 6958, 12922, 45227

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90441 and 90454. The biggest common factor number is the GCF number.
So the greatest common factor 90441 and 90454 is 13.

Also check out the Least Common Multiple of 90441 and 90454