What is the Greatest Common Factor of 29506 and 29512?

Greatest common factor (GCF) of 29506 and 29512 is 2.

GCF(29506,29512) = 2

We will now calculate the prime factors of 29506 and 29512, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29506 and 29512.

How to find the GCF of 29506 and 29512?

We will first find the prime factorization of 29506 and 29512. After we will calculate the factors of 29506 and 29512 and find the biggest common factor number .

Step-1: Prime Factorization of 29506

Prime factors of 29506 are 2, 14753. Prime factorization of 29506 in exponential form is:

29506 = 2¹ × 14753¹

Step-2: Prime Factorization of 29512

Prime factors of 29512 are 2, 7, 17, 31. Prime factorization of 29512 in exponential form is:

29512 = 2³ × 7¹ × 17¹ × 31¹

Step-3: Factors of 29506

List of positive integer factors of 29506 that divides 29506 without a remainder.

1, 2, 14753

Step-4: Factors of 29512

List of positive integer factors of 29512 that divides 29506 without a remainder.

1, 2, 4, 7, 8, 14, 17, 28, 31, 34, 56, 62, 68, 119, 124, 136, 217, 238, 248, 434, 476, 527, 868, 952, 1054, 1736, 2108, 3689, 4216, 7378, 14756

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29506 and 29512. The biggest common factor number is the GCF number.
So the greatest common factor 29506 and 29512 is 2.

Also check out the Least Common Multiple of 29506 and 29512