What is the Greatest Common Factor of 72250 and 72265?

Greatest common factor (GCF) of 72250 and 72265 is 5.

GCF(72250,72265) = 5

We will now calculate the prime factors of 72250 and 72265, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72250 and 72265.

How to find the GCF of 72250 and 72265?

We will first find the prime factorization of 72250 and 72265. After we will calculate the factors of 72250 and 72265 and find the biggest common factor number .

Step-1: Prime Factorization of 72250

Prime factors of 72250 are 2, 5, 17. Prime factorization of 72250 in exponential form is:

72250 = 2¹ × 5³ × 17²

Step-2: Prime Factorization of 72265

Prime factors of 72265 are 5, 97, 149. Prime factorization of 72265 in exponential form is:

72265 = 5¹ × 97¹ × 149¹

Step-3: Factors of 72250

List of positive integer factors of 72250 that divides 72250 without a remainder.

1, 2, 5, 10, 17, 25, 34, 50, 85, 125, 170, 250, 289, 425, 578, 850, 1445, 2125, 2890, 4250, 7225, 14450, 36125

Step-4: Factors of 72265

List of positive integer factors of 72265 that divides 72250 without a remainder.

1, 5, 97, 149, 485, 745, 14453

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72250 and 72265. The biggest common factor number is the GCF number.
So the greatest common factor 72250 and 72265 is 5.

Also check out the Least Common Multiple of 72250 and 72265