What is the Greatest Common Factor of 29042 and 29054?

Greatest common factor (GCF) of 29042 and 29054 is 2.

GCF(29042,29054) = 2

We will now calculate the prime factors of 29042 and 29054, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29042 and 29054.

How to find the GCF of 29042 and 29054?

We will first find the prime factorization of 29042 and 29054. After we will calculate the factors of 29042 and 29054 and find the biggest common factor number .

Step-1: Prime Factorization of 29042

Prime factors of 29042 are 2, 13, 1117. Prime factorization of 29042 in exponential form is:

29042 = 2¹ × 13¹ × 1117¹

Step-2: Prime Factorization of 29054

Prime factors of 29054 are 2, 73, 199. Prime factorization of 29054 in exponential form is:

29054 = 2¹ × 73¹ × 199¹

Step-3: Factors of 29042

List of positive integer factors of 29042 that divides 29042 without a remainder.

1, 2, 13, 26, 1117, 2234, 14521

Step-4: Factors of 29054

List of positive integer factors of 29054 that divides 29042 without a remainder.

1, 2, 73, 146, 199, 398, 14527

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29042 and 29054. The biggest common factor number is the GCF number.
So the greatest common factor 29042 and 29054 is 2.

Also check out the Least Common Multiple of 29042 and 29054