What is the Greatest Common Factor of 90454 and 90467?

Greatest common factor (GCF) of 90454 and 90467 is 13.

GCF(90454,90467) = 13

We will now calculate the prime factors of 90454 and 90467, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90454 and 90467.

How to find the GCF of 90454 and 90467?

We will first find the prime factorization of 90454 and 90467. After we will calculate the factors of 90454 and 90467 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 90467

Prime factors of 90467 are 13, 6959. Prime factorization of 90467 in exponential form is:

90467 = 13¹ × 6959¹

Step-3: Factors of 90454

List of positive integer factors of 90454 that divides 90454 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

Step-4: Factors of 90467

List of positive integer factors of 90467 that divides 90454 without a remainder.

1, 13, 6959

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90454 and 90467. The biggest common factor number is the GCF number.
So the greatest common factor 90454 and 90467 is 13.

Also check out the Least Common Multiple of 90454 and 90467