What is the Greatest Common Factor of 72230 and 72248?

Greatest common factor (GCF) of 72230 and 72248 is 2.

GCF(72230,72248) = 2

We will now calculate the prime factors of 72230 and 72248, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72230 and 72248.

How to find the GCF of 72230 and 72248?

We will first find the prime factorization of 72230 and 72248. After we will calculate the factors of 72230 and 72248 and find the biggest common factor number .

Step-1: Prime Factorization of 72230

Prime factors of 72230 are 2, 5, 31, 233. Prime factorization of 72230 in exponential form is:

72230 = 2¹ × 5¹ × 31¹ × 233¹

Step-2: Prime Factorization of 72248

Prime factors of 72248 are 2, 11, 821. Prime factorization of 72248 in exponential form is:

72248 = 2³ × 11¹ × 821¹

Step-3: Factors of 72230

List of positive integer factors of 72230 that divides 72230 without a remainder.

1, 2, 5, 10, 31, 62, 155, 233, 310, 466, 1165, 2330, 7223, 14446, 36115

Step-4: Factors of 72248

List of positive integer factors of 72248 that divides 72230 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 821, 1642, 3284, 6568, 9031, 18062, 36124

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72230 and 72248. The biggest common factor number is the GCF number.
So the greatest common factor 72230 and 72248 is 2.

Also check out the Least Common Multiple of 72230 and 72248