What is the Greatest Common Factor of 34250 and 34265?

Greatest common factor (GCF) of 34250 and 34265 is 5.

GCF(34250,34265) = 5

We will now calculate the prime factors of 34250 and 34265, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34250 and 34265.

How to find the GCF of 34250 and 34265?

We will first find the prime factorization of 34250 and 34265. After we will calculate the factors of 34250 and 34265 and find the biggest common factor number .

Step-1: Prime Factorization of 34250

Prime factors of 34250 are 2, 5, 137. Prime factorization of 34250 in exponential form is:

34250 = 2¹ × 5³ × 137¹

Step-2: Prime Factorization of 34265

Prime factors of 34265 are 5, 7, 11, 89. Prime factorization of 34265 in exponential form is:

34265 = 5¹ × 7¹ × 11¹ × 89¹

Step-3: Factors of 34250

List of positive integer factors of 34250 that divides 34250 without a remainder.

1, 2, 5, 10, 25, 50, 125, 137, 250, 274, 685, 1370, 3425, 6850, 17125

Step-4: Factors of 34265

List of positive integer factors of 34265 that divides 34250 without a remainder.

1, 5, 7, 11, 35, 55, 77, 89, 385, 445, 623, 979, 3115, 4895, 6853

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34250 and 34265. The biggest common factor number is the GCF number.
So the greatest common factor 34250 and 34265 is 5.

Also check out the Least Common Multiple of 34250 and 34265