What is the Greatest Common Factor of 29644 and 29656?

Greatest common factor (GCF) of 29644 and 29656 is 4.

GCF(29644,29656) = 4

We will now calculate the prime factors of 29644 and 29656, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29644 and 29656.

How to find the GCF of 29644 and 29656?

We will first find the prime factorization of 29644 and 29656. After we will calculate the factors of 29644 and 29656 and find the biggest common factor number .

Step-1: Prime Factorization of 29644

Prime factors of 29644 are 2, 7411. Prime factorization of 29644 in exponential form is:

29644 = 2² × 7411¹

Step-2: Prime Factorization of 29656

Prime factors of 29656 are 2, 11, 337. Prime factorization of 29656 in exponential form is:

29656 = 2³ × 11¹ × 337¹

Step-3: Factors of 29644

List of positive integer factors of 29644 that divides 29644 without a remainder.

1, 2, 4, 7411, 14822

Step-4: Factors of 29656

List of positive integer factors of 29656 that divides 29644 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 337, 674, 1348, 2696, 3707, 7414, 14828

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29644 and 29656. The biggest common factor number is the GCF number.
So the greatest common factor 29644 and 29656 is 4.

Also check out the Least Common Multiple of 29644 and 29656