What is the Greatest Common Factor of 29235 and 29240?

Greatest common factor (GCF) of 29235 and 29240 is 5.

GCF(29235,29240) = 5

We will now calculate the prime factors of 29235 and 29240, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29235 and 29240.

How to find the GCF of 29235 and 29240?

We will first find the prime factorization of 29235 and 29240. After we will calculate the factors of 29235 and 29240 and find the biggest common factor number .

Step-1: Prime Factorization of 29235

Prime factors of 29235 are 3, 5, 1949. Prime factorization of 29235 in exponential form is:

29235 = 3¹ × 5¹ × 1949¹

Step-2: Prime Factorization of 29240

Prime factors of 29240 are 2, 5, 17, 43. Prime factorization of 29240 in exponential form is:

29240 = 2³ × 5¹ × 17¹ × 43¹

Step-3: Factors of 29235

List of positive integer factors of 29235 that divides 29235 without a remainder.

1, 3, 5, 15, 1949, 5847, 9745

Step-4: Factors of 29240

List of positive integer factors of 29240 that divides 29235 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 43, 68, 85, 86, 136, 170, 172, 215, 340, 344, 430, 680, 731, 860, 1462, 1720, 2924, 3655, 5848, 7310, 14620

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29235 and 29240. The biggest common factor number is the GCF number.
So the greatest common factor 29235 and 29240 is 5.

Also check out the Least Common Multiple of 29235 and 29240