What is the Greatest Common Factor of 78348 and 78362?

Greatest common factor (GCF) of 78348 and 78362 is 2.

GCF(78348,78362) = 2

We will now calculate the prime factors of 78348 and 78362, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78348 and 78362.

How to find the GCF of 78348 and 78362?

We will first find the prime factorization of 78348 and 78362. After we will calculate the factors of 78348 and 78362 and find the biggest common factor number .

Step-1: Prime Factorization of 78348

Prime factors of 78348 are 2, 3, 6529. Prime factorization of 78348 in exponential form is:

78348 = 2² × 3¹ × 6529¹

Step-2: Prime Factorization of 78362

Prime factors of 78362 are 2, 39181. Prime factorization of 78362 in exponential form is:

78362 = 2¹ × 39181¹

Step-3: Factors of 78348

List of positive integer factors of 78348 that divides 78348 without a remainder.

1, 2, 3, 4, 6, 12, 6529, 13058, 19587, 26116, 39174

Step-4: Factors of 78362

List of positive integer factors of 78362 that divides 78348 without a remainder.

1, 2, 39181

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78348 and 78362. The biggest common factor number is the GCF number.
So the greatest common factor 78348 and 78362 is 2.

Also check out the Least Common Multiple of 78348 and 78362