What is the Greatest Common Factor of 72238 and 72250?

Greatest common factor (GCF) of 72238 and 72250 is 2.

GCF(72238,72250) = 2

We will now calculate the prime factors of 72238 and 72250, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72238 and 72250.

How to find the GCF of 72238 and 72250?

We will first find the prime factorization of 72238 and 72250. After we will calculate the factors of 72238 and 72250 and find the biggest common factor number .

Step-1: Prime Factorization of 72238

Prime factors of 72238 are 2, 19, 1901. Prime factorization of 72238 in exponential form is:

72238 = 2¹ × 19¹ × 1901¹

Step-2: 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-3: Factors of 72238

List of positive integer factors of 72238 that divides 72238 without a remainder.

1, 2, 19, 38, 1901, 3802, 36119

Step-4: Factors of 72250

List of positive integer factors of 72250 that divides 72238 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72238 and 72250. The biggest common factor number is the GCF number.
So the greatest common factor 72238 and 72250 is 2.

Also check out the Least Common Multiple of 72238 and 72250