What is the Greatest Common Factor of 29600 and 29612?

Greatest common factor (GCF) of 29600 and 29612 is 4.

GCF(29600,29612) = 4

We will now calculate the prime factors of 29600 and 29612, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29600 and 29612.

How to find the GCF of 29600 and 29612?

We will first find the prime factorization of 29600 and 29612. After we will calculate the factors of 29600 and 29612 and find the biggest common factor number .

Step-1: Prime Factorization of 29600

Prime factors of 29600 are 2, 5, 37. Prime factorization of 29600 in exponential form is:

29600 = 2⁵ × 5² × 37¹

Step-2: Prime Factorization of 29612

Prime factors of 29612 are 2, 11, 673. Prime factorization of 29612 in exponential form is:

29612 = 2² × 11¹ × 673¹

Step-3: Factors of 29600

List of positive integer factors of 29600 that divides 29600 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 37, 40, 50, 74, 80, 100, 148, 160, 185, 200, 296, 370, 400, 592, 740, 800, 925, 1184, 1480, 1850, 2960, 3700, 5920, 7400, 14800

Step-4: Factors of 29612

List of positive integer factors of 29612 that divides 29600 without a remainder.

1, 2, 4, 11, 22, 44, 673, 1346, 2692, 7403, 14806

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29600 and 29612. The biggest common factor number is the GCF number.
So the greatest common factor 29600 and 29612 is 4.

Also check out the Least Common Multiple of 29600 and 29612