What is the Greatest Common Factor of 94461 and 94480?

Greatest common factor (GCF) of 94461 and 94480 is 1.

GCF(94461,94480) = 1

We will now calculate the prime factors of 94461 and 94480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94461 and 94480.

How to find the GCF of 94461 and 94480?

We will first find the prime factorization of 94461 and 94480. After we will calculate the factors of 94461 and 94480 and find the biggest common factor number .

Step-1: Prime Factorization of 94461

Prime factors of 94461 are 3, 23, 37. Prime factorization of 94461 in exponential form is:

94461 = 3¹ × 23¹ × 37²

Step-2: Prime Factorization of 94480

Prime factors of 94480 are 2, 5, 1181. Prime factorization of 94480 in exponential form is:

94480 = 2⁴ × 5¹ × 1181¹

Step-3: Factors of 94461

List of positive integer factors of 94461 that divides 94461 without a remainder.

1, 3, 23, 37, 69, 111, 851, 1369, 2553, 4107, 31487

Step-4: Factors of 94480

List of positive integer factors of 94480 that divides 94461 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 1181, 2362, 4724, 5905, 9448, 11810, 18896, 23620, 47240

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94461 and 94480. The biggest common factor number is the GCF number.
So the greatest common factor 94461 and 94480 is 1.

Also check out the Least Common Multiple of 94461 and 94480