What is the Greatest Common Factor of 29200 and 29211?

Greatest common factor (GCF) of 29200 and 29211 is 1.

GCF(29200,29211) = 1

We will now calculate the prime factors of 29200 and 29211, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29200 and 29211.

How to find the GCF of 29200 and 29211?

We will first find the prime factorization of 29200 and 29211. After we will calculate the factors of 29200 and 29211 and find the biggest common factor number .

Step-1: Prime Factorization of 29200

Prime factors of 29200 are 2, 5, 73. Prime factorization of 29200 in exponential form is:

29200 = 2⁴ × 5² × 73¹

Step-2: Prime Factorization of 29211

Prime factors of 29211 are 3, 7, 13, 107. Prime factorization of 29211 in exponential form is:

29211 = 3¹ × 7¹ × 13¹ × 107¹

Step-3: Factors of 29200

List of positive integer factors of 29200 that divides 29200 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 73, 80, 100, 146, 200, 292, 365, 400, 584, 730, 1168, 1460, 1825, 2920, 3650, 5840, 7300, 14600

Step-4: Factors of 29211

List of positive integer factors of 29211 that divides 29200 without a remainder.

1, 3, 7, 13, 21, 39, 91, 107, 273, 321, 749, 1391, 2247, 4173, 9737

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29200 and 29211. The biggest common factor number is the GCF number.
So the greatest common factor 29200 and 29211 is 1.

Also check out the Least Common Multiple of 29200 and 29211