What is the Greatest Common Factor of 29074 and 29090?

Greatest common factor (GCF) of 29074 and 29090 is 2.

GCF(29074,29090) = 2

We will now calculate the prime factors of 29074 and 29090, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29074 and 29090.

How to find the GCF of 29074 and 29090?

We will first find the prime factorization of 29074 and 29090. After we will calculate the factors of 29074 and 29090 and find the biggest common factor number .

Step-1: Prime Factorization of 29074

Prime factors of 29074 are 2, 14537. Prime factorization of 29074 in exponential form is:

29074 = 2¹ × 14537¹

Step-2: Prime Factorization of 29090

Prime factors of 29090 are 2, 5, 2909. Prime factorization of 29090 in exponential form is:

29090 = 2¹ × 5¹ × 2909¹

Step-3: Factors of 29074

List of positive integer factors of 29074 that divides 29074 without a remainder.

1, 2, 14537

Step-4: Factors of 29090

List of positive integer factors of 29090 that divides 29074 without a remainder.

1, 2, 5, 10, 2909, 5818, 14545

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29074 and 29090. The biggest common factor number is the GCF number.
So the greatest common factor 29074 and 29090 is 2.

Also check out the Least Common Multiple of 29074 and 29090