What is the Greatest Common Factor of 78274 and 78288?

Greatest common factor (GCF) of 78274 and 78288 is 14.

GCF(78274,78288) = 14

We will now calculate the prime factors of 78274 and 78288, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78274 and 78288.

How to find the GCF of 78274 and 78288?

We will first find the prime factorization of 78274 and 78288. After we will calculate the factors of 78274 and 78288 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 78288

Prime factors of 78288 are 2, 3, 7, 233. Prime factorization of 78288 in exponential form is:

78288 = 2⁴ × 3¹ × 7¹ × 233¹

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 78288

List of positive integer factors of 78288 that divides 78274 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 233, 336, 466, 699, 932, 1398, 1631, 1864, 2796, 3262, 3728, 4893, 5592, 6524, 9786, 11184, 13048, 19572, 26096, 39144

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78274 and 78288. The biggest common factor number is the GCF number.
So the greatest common factor 78274 and 78288 is 14.

Also check out the Least Common Multiple of 78274 and 78288