What is the Greatest Common Factor of 78260 and 78274?

Greatest common factor (GCF) of 78260 and 78274 is 14.

GCF(78260,78274) = 14

We will now calculate the prime factors of 78260 and 78274, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78260 and 78274.

How to find the GCF of 78260 and 78274?

We will first find the prime factorization of 78260 and 78274. After we will calculate the factors of 78260 and 78274 and find the biggest common factor number .

Step-1: Prime Factorization of 78260

Prime factors of 78260 are 2, 5, 7, 13, 43. Prime factorization of 78260 in exponential form is:

78260 = 2² × 5¹ × 7¹ × 13¹ × 43¹

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 78260

List of positive integer factors of 78260 that divides 78260 without a remainder.

1, 2, 4, 5, 7, 10, 13, 14, 20, 26, 28, 35, 43, 52, 65, 70, 86, 91, 130, 140, 172, 182, 215, 260, 301, 364, 430, 455, 559, 602, 860, 910, 1118, 1204, 1505, 1820, 2236, 2795, 3010, 3913, 5590, 6020, 7826, 11180, 15652, 19565, 39130

Step-4: Factors of 78274

List of positive integer factors of 78274 that divides 78260 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78260 and 78274. The biggest common factor number is the GCF number.
So the greatest common factor 78260 and 78274 is 14.

Also check out the Least Common Multiple of 78260 and 78274