What is the Greatest Common Factor of 29540 and 29554?

Greatest common factor (GCF) of 29540 and 29554 is 14.

GCF(29540,29554) = 14

We will now calculate the prime factors of 29540 and 29554, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29540 and 29554.

How to find the GCF of 29540 and 29554?

We will first find the prime factorization of 29540 and 29554. After we will calculate the factors of 29540 and 29554 and find the biggest common factor number .

Step-1: Prime Factorization of 29540

Prime factors of 29540 are 2, 5, 7, 211. Prime factorization of 29540 in exponential form is:

29540 = 2² × 5¹ × 7¹ × 211¹

Step-2: Prime Factorization of 29554

Prime factors of 29554 are 2, 7, 2111. Prime factorization of 29554 in exponential form is:

29554 = 2¹ × 7¹ × 2111¹

Step-3: Factors of 29540

List of positive integer factors of 29540 that divides 29540 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 211, 422, 844, 1055, 1477, 2110, 2954, 4220, 5908, 7385, 14770

Step-4: Factors of 29554

List of positive integer factors of 29554 that divides 29540 without a remainder.

1, 2, 7, 14, 2111, 4222, 14777

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29540 and 29554. The biggest common factor number is the GCF number.
So the greatest common factor 29540 and 29554 is 14.

Also check out the Least Common Multiple of 29540 and 29554