What is the Greatest Common Factor of 29146 and 29156?

Greatest common factor (GCF) of 29146 and 29156 is 2.

GCF(29146,29156) = 2

We will now calculate the prime factors of 29146 and 29156, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29146 and 29156.

How to find the GCF of 29146 and 29156?

We will first find the prime factorization of 29146 and 29156. After we will calculate the factors of 29146 and 29156 and find the biggest common factor number .

Step-1: Prime Factorization of 29146

Prime factors of 29146 are 2, 13, 19, 59. Prime factorization of 29146 in exponential form is:

29146 = 2¹ × 13¹ × 19¹ × 59¹

Step-2: Prime Factorization of 29156

Prime factors of 29156 are 2, 37, 197. Prime factorization of 29156 in exponential form is:

29156 = 2² × 37¹ × 197¹

Step-3: Factors of 29146

List of positive integer factors of 29146 that divides 29146 without a remainder.

1, 2, 13, 19, 26, 38, 59, 118, 247, 494, 767, 1121, 1534, 2242, 14573

Step-4: Factors of 29156

List of positive integer factors of 29156 that divides 29146 without a remainder.

1, 2, 4, 37, 74, 148, 197, 394, 788, 7289, 14578

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29146 and 29156. The biggest common factor number is the GCF number.
So the greatest common factor 29146 and 29156 is 2.

Also check out the Least Common Multiple of 29146 and 29156