What is the Greatest Common Factor of 29200 and 29210?

Greatest common factor (GCF) of 29200 and 29210 is 10.

GCF(29200,29210) = 10

We will now calculate the prime factors of 29200 and 29210, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29200 and 29210.

How to find the GCF of 29200 and 29210?

We will first find the prime factorization of 29200 and 29210. After we will calculate the factors of 29200 and 29210 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 29210

Prime factors of 29210 are 2, 5, 23, 127. Prime factorization of 29210 in exponential form is:

29210 = 2¹ × 5¹ × 23¹ × 127¹

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 29210

List of positive integer factors of 29210 that divides 29200 without a remainder.

1, 2, 5, 10, 23, 46, 115, 127, 230, 254, 635, 1270, 2921, 5842, 14605

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29200 and 29210. The biggest common factor number is the GCF number.
So the greatest common factor 29200 and 29210 is 10.

Also check out the Least Common Multiple of 29200 and 29210