What is the Greatest Common Factor of 94714 and 94722?

Greatest common factor (GCF) of 94714 and 94722 is 2.

GCF(94714,94722) = 2

We will now calculate the prime factors of 94714 and 94722, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94714 and 94722.

How to find the GCF of 94714 and 94722?

We will first find the prime factorization of 94714 and 94722. After we will calculate the factors of 94714 and 94722 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 94722

Prime factors of 94722 are 2, 3, 15787. Prime factorization of 94722 in exponential form is:

94722 = 2¹ × 3¹ × 15787¹

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 94722

List of positive integer factors of 94722 that divides 94714 without a remainder.

1, 2, 3, 6, 15787, 31574, 47361

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94714 and 94722. The biggest common factor number is the GCF number.
So the greatest common factor 94714 and 94722 is 2.

Also check out the Least Common Multiple of 94714 and 94722