What is the Greatest Common Factor of 90454 and 90471?

Greatest common factor (GCF) of 90454 and 90471 is 1.

GCF(90454,90471) = 1

We will now calculate the prime factors of 90454 and 90471, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90454 and 90471.

How to find the GCF of 90454 and 90471?

We will first find the prime factorization of 90454 and 90471. After we will calculate the factors of 90454 and 90471 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 90471

Prime factors of 90471 are 3, 53, 569. Prime factorization of 90471 in exponential form is:

90471 = 3¹ × 53¹ × 569¹

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 90471

List of positive integer factors of 90471 that divides 90454 without a remainder.

1, 3, 53, 159, 569, 1707, 30157

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90454 and 90471. The biggest common factor number is the GCF number.
So the greatest common factor 90454 and 90471 is 1.

Also check out the Least Common Multiple of 90454 and 90471