What is the Greatest Common Factor of 94714 and 94721?

Greatest common factor (GCF) of 94714 and 94721 is 1.

GCF(94714,94721) = 1

We will now calculate the prime factors of 94714 and 94721, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94714 and 94721.

How to find the GCF of 94714 and 94721?

We will first find the prime factorization of 94714 and 94721. After we will calculate the factors of 94714 and 94721 and find the biggest common factor number .

Step-1: Prime Factorization of 94714

Prime factors of 94714 are 2, 23, 29, 71. Prime factorization of 94714 in exponential form is:

94714 = 2¹ × 23¹ × 29¹ × 71¹

Step-2: Prime Factorization of 94721

Prime factors of 94721 are 11, 79, 109. Prime factorization of 94721 in exponential form is:

94721 = 11¹ × 79¹ × 109¹

Step-3: Factors of 94714

List of positive integer factors of 94714 that divides 94714 without a remainder.

1, 2, 23, 29, 46, 58, 71, 142, 667, 1334, 1633, 2059, 3266, 4118, 47357

Step-4: Factors of 94721

List of positive integer factors of 94721 that divides 94714 without a remainder.

1, 11, 79, 109, 869, 1199, 8611

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94714 and 94721. The biggest common factor number is the GCF number.
So the greatest common factor 94714 and 94721 is 1.

Also check out the Least Common Multiple of 94714 and 94721