What is the Greatest Common Factor of 29072 and 29079?

Greatest common factor (GCF) of 29072 and 29079 is 1.

GCF(29072,29079) = 1

We will now calculate the prime factors of 29072 and 29079, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29072 and 29079.

How to find the GCF of 29072 and 29079?

We will first find the prime factorization of 29072 and 29079. After we will calculate the factors of 29072 and 29079 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 29079

Prime factors of 29079 are 3, 359. Prime factorization of 29079 in exponential form is:

29079 = 3⁴ × 359¹

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 29079

List of positive integer factors of 29079 that divides 29072 without a remainder.

1, 3, 9, 27, 81, 359, 1077, 3231, 9693

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29072 and 29079. The biggest common factor number is the GCF number.
So the greatest common factor 29072 and 29079 is 1.

Also check out the Least Common Multiple of 29072 and 29079