What is the Greatest Common Factor of 80454 and 80461?

Greatest common factor (GCF) of 80454 and 80461 is 1.

GCF(80454,80461) = 1

We will now calculate the prime factors of 80454 and 80461, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80454 and 80461.

How to find the GCF of 80454 and 80461?

We will first find the prime factorization of 80454 and 80461. After we will calculate the factors of 80454 and 80461 and find the biggest common factor number .

Step-1: Prime Factorization of 80454

Prime factors of 80454 are 2, 3, 11, 23, 53. Prime factorization of 80454 in exponential form is:

80454 = 2¹ × 3¹ × 11¹ × 23¹ × 53¹

Step-2: Prime Factorization of 80461

Prime factors of 80461 are 17, 4733. Prime factorization of 80461 in exponential form is:

80461 = 17¹ × 4733¹

Step-3: Factors of 80454

List of positive integer factors of 80454 that divides 80454 without a remainder.

1, 2, 3, 6, 11, 22, 23, 33, 46, 53, 66, 69, 106, 138, 159, 253, 318, 506, 583, 759, 1166, 1219, 1518, 1749, 2438, 3498, 3657, 7314, 13409, 26818, 40227

Step-4: Factors of 80461

List of positive integer factors of 80461 that divides 80454 without a remainder.

1, 17, 4733

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80454 and 80461. The biggest common factor number is the GCF number.
So the greatest common factor 80454 and 80461 is 1.

Also check out the Least Common Multiple of 80454 and 80461