What is the Greatest Common Factor of 29546 and 29564?

Greatest common factor (GCF) of 29546 and 29564 is 2.

GCF(29546,29564) = 2

We will now calculate the prime factors of 29546 and 29564, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29546 and 29564.

How to find the GCF of 29546 and 29564?

We will first find the prime factorization of 29546 and 29564. After we will calculate the factors of 29546 and 29564 and find the biggest common factor number .

Step-1: Prime Factorization of 29546

Prime factors of 29546 are 2, 11, 17, 79. Prime factorization of 29546 in exponential form is:

29546 = 2¹ × 11¹ × 17¹ × 79¹

Step-2: Prime Factorization of 29564

Prime factors of 29564 are 2, 19, 389. Prime factorization of 29564 in exponential form is:

29564 = 2² × 19¹ × 389¹

Step-3: Factors of 29546

List of positive integer factors of 29546 that divides 29546 without a remainder.

1, 2, 11, 17, 22, 34, 79, 158, 187, 374, 869, 1343, 1738, 2686, 14773

Step-4: Factors of 29564

List of positive integer factors of 29564 that divides 29546 without a remainder.

1, 2, 4, 19, 38, 76, 389, 778, 1556, 7391, 14782

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29546 and 29564. The biggest common factor number is the GCF number.
So the greatest common factor 29546 and 29564 is 2.

Also check out the Least Common Multiple of 29546 and 29564