What is the Greatest Common Factor of 72302 and 72307?

Greatest common factor (GCF) of 72302 and 72307 is 1.

GCF(72302,72307) = 1

We will now calculate the prime factors of 72302 and 72307, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72302 and 72307.

How to find the GCF of 72302 and 72307?

We will first find the prime factorization of 72302 and 72307. After we will calculate the factors of 72302 and 72307 and find the biggest common factor number .

Step-1: Prime Factorization of 72302

Prime factors of 72302 are 2, 36151. Prime factorization of 72302 in exponential form is:

72302 = 2¹ × 36151¹

Step-2: Prime Factorization of 72307

Prime factors of 72307 are 72307. Prime factorization of 72307 in exponential form is:

72307 = 72307¹

Step-3: Factors of 72302

List of positive integer factors of 72302 that divides 72302 without a remainder.

1, 2, 36151

Step-4: Factors of 72307

List of positive integer factors of 72307 that divides 72302 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72302 and 72307. The biggest common factor number is the GCF number.
So the greatest common factor 72302 and 72307 is 1.

Also check out the Least Common Multiple of 72302 and 72307