What is the Greatest Common Factor of 29704 and 29722?

Greatest common factor (GCF) of 29704 and 29722 is 2.

GCF(29704,29722) = 2

We will now calculate the prime factors of 29704 and 29722, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29704 and 29722.

How to find the GCF of 29704 and 29722?

We will first find the prime factorization of 29704 and 29722. After we will calculate the factors of 29704 and 29722 and find the biggest common factor number .

Step-1: Prime Factorization of 29704

Prime factors of 29704 are 2, 47, 79. Prime factorization of 29704 in exponential form is:

29704 = 2³ × 47¹ × 79¹

Step-2: Prime Factorization of 29722

Prime factors of 29722 are 2, 7, 11, 193. Prime factorization of 29722 in exponential form is:

29722 = 2¹ × 7¹ × 11¹ × 193¹

Step-3: Factors of 29704

List of positive integer factors of 29704 that divides 29704 without a remainder.

1, 2, 4, 8, 47, 79, 94, 158, 188, 316, 376, 632, 3713, 7426, 14852

Step-4: Factors of 29722

List of positive integer factors of 29722 that divides 29704 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154, 193, 386, 1351, 2123, 2702, 4246, 14861

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29704 and 29722. The biggest common factor number is the GCF number.
So the greatest common factor 29704 and 29722 is 2.

Also check out the Least Common Multiple of 29704 and 29722