What is the Greatest Common Factor of 72239 and 72251?

Greatest common factor (GCF) of 72239 and 72251 is 1.

GCF(72239,72251) = 1

We will now calculate the prime factors of 72239 and 72251, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72239 and 72251.

How to find the GCF of 72239 and 72251?

We will first find the prime factorization of 72239 and 72251. After we will calculate the factors of 72239 and 72251 and find the biggest common factor number .

Step-1: Prime Factorization of 72239

Prime factors of 72239 are 29, 47, 53. Prime factorization of 72239 in exponential form is:

72239 = 29¹ × 47¹ × 53¹

Step-2: Prime Factorization of 72251

Prime factors of 72251 are 72251. Prime factorization of 72251 in exponential form is:

72251 = 72251¹

Step-3: Factors of 72239

List of positive integer factors of 72239 that divides 72239 without a remainder.

1, 29, 47, 53, 1363, 1537, 2491

Step-4: Factors of 72251

List of positive integer factors of 72251 that divides 72239 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72239 and 72251. The biggest common factor number is the GCF number.
So the greatest common factor 72239 and 72251 is 1.

Also check out the Least Common Multiple of 72239 and 72251