What is the Greatest Common Factor of 80348 and 80362?

Greatest common factor (GCF) of 80348 and 80362 is 2.

GCF(80348,80362) = 2

We will now calculate the prime factors of 80348 and 80362, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80348 and 80362.

How to find the GCF of 80348 and 80362?

We will first find the prime factorization of 80348 and 80362. After we will calculate the factors of 80348 and 80362 and find the biggest common factor number .

Step-1: Prime Factorization of 80348

Prime factors of 80348 are 2, 53, 379. Prime factorization of 80348 in exponential form is:

80348 = 2² × 53¹ × 379¹

Step-2: Prime Factorization of 80362

Prime factors of 80362 are 2, 23, 1747. Prime factorization of 80362 in exponential form is:

80362 = 2¹ × 23¹ × 1747¹

Step-3: Factors of 80348

List of positive integer factors of 80348 that divides 80348 without a remainder.

1, 2, 4, 53, 106, 212, 379, 758, 1516, 20087, 40174

Step-4: Factors of 80362

List of positive integer factors of 80362 that divides 80348 without a remainder.

1, 2, 23, 46, 1747, 3494, 40181

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80348 and 80362. The biggest common factor number is the GCF number.
So the greatest common factor 80348 and 80362 is 2.

Also check out the Least Common Multiple of 80348 and 80362