What is the Greatest Common Factor of 72348 and 72362?

Greatest common factor (GCF) of 72348 and 72362 is 2.

GCF(72348,72362) = 2

We will now calculate the prime factors of 72348 and 72362, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72348 and 72362.

How to find the GCF of 72348 and 72362?

We will first find the prime factorization of 72348 and 72362. After we will calculate the factors of 72348 and 72362 and find the biggest common factor number .

Step-1: Prime Factorization of 72348

Prime factors of 72348 are 2, 3, 6029. Prime factorization of 72348 in exponential form is:

72348 = 2² × 3¹ × 6029¹

Step-2: Prime Factorization of 72362

Prime factors of 72362 are 2, 97, 373. Prime factorization of 72362 in exponential form is:

72362 = 2¹ × 97¹ × 373¹

Step-3: Factors of 72348

List of positive integer factors of 72348 that divides 72348 without a remainder.

1, 2, 3, 4, 6, 12, 6029, 12058, 18087, 24116, 36174

Step-4: Factors of 72362

List of positive integer factors of 72362 that divides 72348 without a remainder.

1, 2, 97, 194, 373, 746, 36181

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72348 and 72362. The biggest common factor number is the GCF number.
So the greatest common factor 72348 and 72362 is 2.

Also check out the Least Common Multiple of 72348 and 72362