What is the Greatest Common Factor of 78274 and 78294?

Greatest common factor (GCF) of 78274 and 78294 is 2.

GCF(78274,78294) = 2

We will now calculate the prime factors of 78274 and 78294, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78274 and 78294.

How to find the GCF of 78274 and 78294?

We will first find the prime factorization of 78274 and 78294. After we will calculate the factors of 78274 and 78294 and find the biggest common factor number .

Step-1: Prime Factorization of 78274

Prime factors of 78274 are 2, 7, 5591. Prime factorization of 78274 in exponential form is:

78274 = 2¹ × 7¹ × 5591¹

Step-2: Prime Factorization of 78294

Prime factors of 78294 are 2, 3, 13049. Prime factorization of 78294 in exponential form is:

78294 = 2¹ × 3¹ × 13049¹

Step-3: Factors of 78274

List of positive integer factors of 78274 that divides 78274 without a remainder.

1, 2, 7, 14, 5591, 11182, 39137

Step-4: Factors of 78294

List of positive integer factors of 78294 that divides 78274 without a remainder.

1, 2, 3, 6, 13049, 26098, 39147

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78274 and 78294. The biggest common factor number is the GCF number.
So the greatest common factor 78274 and 78294 is 2.

Also check out the Least Common Multiple of 78274 and 78294