What is the Greatest Common Factor of 78262 and 78274?

Greatest common factor (GCF) of 78262 and 78274 is 2.

GCF(78262,78274) = 2

We will now calculate the prime factors of 78262 and 78274, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78262 and 78274.

How to find the GCF of 78262 and 78274?

We will first find the prime factorization of 78262 and 78274. After we will calculate the factors of 78262 and 78274 and find the biggest common factor number .

Step-1: Prime Factorization of 78262

Prime factors of 78262 are 2, 109, 359. Prime factorization of 78262 in exponential form is:

78262 = 2¹ × 109¹ × 359¹

Step-2: 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-3: Factors of 78262

List of positive integer factors of 78262 that divides 78262 without a remainder.

1, 2, 109, 218, 359, 718, 39131

Step-4: Factors of 78274

List of positive integer factors of 78274 that divides 78262 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78262 and 78274. The biggest common factor number is the GCF number.
So the greatest common factor 78262 and 78274 is 2.

Also check out the Least Common Multiple of 78262 and 78274