What is the Greatest Common Factor of 29548 and 29566?

Greatest common factor (GCF) of 29548 and 29566 is 2.

GCF(29548,29566) = 2

We will now calculate the prime factors of 29548 and 29566, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29548 and 29566.

How to find the GCF of 29548 and 29566?

We will first find the prime factorization of 29548 and 29566. After we will calculate the factors of 29548 and 29566 and find the biggest common factor number .

Step-1: Prime Factorization of 29548

Prime factors of 29548 are 2, 83, 89. Prime factorization of 29548 in exponential form is:

29548 = 2² × 83¹ × 89¹

Step-2: Prime Factorization of 29566

Prime factors of 29566 are 2, 14783. Prime factorization of 29566 in exponential form is:

29566 = 2¹ × 14783¹

Step-3: Factors of 29548

List of positive integer factors of 29548 that divides 29548 without a remainder.

1, 2, 4, 83, 89, 166, 178, 332, 356, 7387, 14774

Step-4: Factors of 29566

List of positive integer factors of 29566 that divides 29548 without a remainder.

1, 2, 14783

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29548 and 29566. The biggest common factor number is the GCF number.
So the greatest common factor 29548 and 29566 is 2.

Also check out the Least Common Multiple of 29548 and 29566