What is the Greatest Common Factor of 29072 and 29086?

Greatest common factor (GCF) of 29072 and 29086 is 2.

GCF(29072,29086) = 2

We will now calculate the prime factors of 29072 and 29086, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29072 and 29086.

How to find the GCF of 29072 and 29086?

We will first find the prime factorization of 29072 and 29086. After we will calculate the factors of 29072 and 29086 and find the biggest common factor number .

Step-1: Prime Factorization of 29072

Prime factors of 29072 are 2, 23, 79. Prime factorization of 29072 in exponential form is:

29072 = 2⁴ × 23¹ × 79¹

Step-2: Prime Factorization of 29086

Prime factors of 29086 are 2, 14543. Prime factorization of 29086 in exponential form is:

29086 = 2¹ × 14543¹

Step-3: Factors of 29072

List of positive integer factors of 29072 that divides 29072 without a remainder.

1, 2, 4, 8, 16, 23, 46, 79, 92, 158, 184, 316, 368, 632, 1264, 1817, 3634, 7268, 14536

Step-4: Factors of 29086

List of positive integer factors of 29086 that divides 29072 without a remainder.

1, 2, 14543

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29072 and 29086. The biggest common factor number is the GCF number.
So the greatest common factor 29072 and 29086 is 2.

Also check out the Least Common Multiple of 29072 and 29086