What is the Greatest Common Factor of 34225 and 34240?

Greatest common factor (GCF) of 34225 and 34240 is 5.

GCF(34225,34240) = 5

We will now calculate the prime factors of 34225 and 34240, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34225 and 34240.

How to find the GCF of 34225 and 34240?

We will first find the prime factorization of 34225 and 34240. After we will calculate the factors of 34225 and 34240 and find the biggest common factor number .

Step-1: Prime Factorization of 34225

Prime factors of 34225 are 5, 37. Prime factorization of 34225 in exponential form is:

34225 = 5² × 37²

Step-2: Prime Factorization of 34240

Prime factors of 34240 are 2, 5, 107. Prime factorization of 34240 in exponential form is:

34240 = 2⁶ × 5¹ × 107¹

Step-3: Factors of 34225

List of positive integer factors of 34225 that divides 34225 without a remainder.

1, 5, 25, 37, 185, 925, 1369, 6845

Step-4: Factors of 34240

List of positive integer factors of 34240 that divides 34225 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 107, 160, 214, 320, 428, 535, 856, 1070, 1712, 2140, 3424, 4280, 6848, 8560, 17120

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34225 and 34240. The biggest common factor number is the GCF number.
So the greatest common factor 34225 and 34240 is 5.

Also check out the Least Common Multiple of 34225 and 34240