What is the Greatest Common Factor of 29340 and 29350?

Greatest common factor (GCF) of 29340 and 29350 is 10.

GCF(29340,29350) = 10

We will now calculate the prime factors of 29340 and 29350, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29340 and 29350.

How to find the GCF of 29340 and 29350?

We will first find the prime factorization of 29340 and 29350. After we will calculate the factors of 29340 and 29350 and find the biggest common factor number .

Step-1: Prime Factorization of 29340

Prime factors of 29340 are 2, 3, 5, 163. Prime factorization of 29340 in exponential form is:

29340 = 2² × 3² × 5¹ × 163¹

Step-2: Prime Factorization of 29350

Prime factors of 29350 are 2, 5, 587. Prime factorization of 29350 in exponential form is:

29350 = 2¹ × 5² × 587¹

Step-3: Factors of 29340

List of positive integer factors of 29340 that divides 29340 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 163, 180, 326, 489, 652, 815, 978, 1467, 1630, 1956, 2445, 2934, 3260, 4890, 5868, 7335, 9780, 14670

Step-4: Factors of 29350

List of positive integer factors of 29350 that divides 29340 without a remainder.

1, 2, 5, 10, 25, 50, 587, 1174, 2935, 5870, 14675

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29340 and 29350. The biggest common factor number is the GCF number.
So the greatest common factor 29340 and 29350 is 10.

Also check out the Least Common Multiple of 29340 and 29350