What is the Greatest Common Factor of 29225 and 29240?

Greatest common factor (GCF) of 29225 and 29240 is 5.

GCF(29225,29240) = 5

We will now calculate the prime factors of 29225 and 29240, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29225 and 29240.

How to find the GCF of 29225 and 29240?

We will first find the prime factorization of 29225 and 29240. After we will calculate the factors of 29225 and 29240 and find the biggest common factor number .

Step-1: Prime Factorization of 29225

Prime factors of 29225 are 5, 7, 167. Prime factorization of 29225 in exponential form is:

29225 = 5² × 7¹ × 167¹

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 29225

List of positive integer factors of 29225 that divides 29225 without a remainder.

1, 5, 7, 25, 35, 167, 175, 835, 1169, 4175, 5845

Step-4: Factors of 29240

List of positive integer factors of 29240 that divides 29225 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 29225 and 29240. The biggest common factor number is the GCF number.
So the greatest common factor 29225 and 29240 is 5.

Also check out the Least Common Multiple of 29225 and 29240