What is the Greatest Common Factor of 78292 and 78298?

Greatest common factor (GCF) of 78292 and 78298 is 2.

GCF(78292,78298) = 2

We will now calculate the prime factors of 78292 and 78298, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78292 and 78298.

How to find the GCF of 78292 and 78298?

We will first find the prime factorization of 78292 and 78298. After we will calculate the factors of 78292 and 78298 and find the biggest common factor number .

Step-1: Prime Factorization of 78292

Prime factors of 78292 are 2, 23, 37. Prime factorization of 78292 in exponential form is:

78292 = 2² × 23² × 37¹

Step-2: Prime Factorization of 78298

Prime factors of 78298 are 2, 11, 3559. Prime factorization of 78298 in exponential form is:

78298 = 2¹ × 11¹ × 3559¹

Step-3: Factors of 78292

List of positive integer factors of 78292 that divides 78292 without a remainder.

1, 2, 4, 23, 37, 46, 74, 92, 148, 529, 851, 1058, 1702, 2116, 3404, 19573, 39146

Step-4: Factors of 78298

List of positive integer factors of 78298 that divides 78292 without a remainder.

1, 2, 11, 22, 3559, 7118, 39149

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78292 and 78298. The biggest common factor number is the GCF number.
So the greatest common factor 78292 and 78298 is 2.

Also check out the Least Common Multiple of 78292 and 78298