What is the Greatest Common Factor of 78414 and 78432?

Greatest common factor (GCF) of 78414 and 78432 is 6.

GCF(78414,78432) = 6

We will now calculate the prime factors of 78414 and 78432, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78414 and 78432.

How to find the GCF of 78414 and 78432?

We will first find the prime factorization of 78414 and 78432. After we will calculate the factors of 78414 and 78432 and find the biggest common factor number .

Step-1: Prime Factorization of 78414

Prime factors of 78414 are 2, 3, 7, 1867. Prime factorization of 78414 in exponential form is:

78414 = 2¹ × 3¹ × 7¹ × 1867¹

Step-2: Prime Factorization of 78432

Prime factors of 78432 are 2, 3, 19, 43. Prime factorization of 78432 in exponential form is:

78432 = 2⁵ × 3¹ × 19¹ × 43¹

Step-3: Factors of 78414

List of positive integer factors of 78414 that divides 78414 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1867, 3734, 5601, 11202, 13069, 26138, 39207

Step-4: Factors of 78432

List of positive integer factors of 78432 that divides 78414 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 32, 38, 43, 48, 57, 76, 86, 96, 114, 129, 152, 172, 228, 258, 304, 344, 456, 516, 608, 688, 817, 912, 1032, 1376, 1634, 1824, 2064, 2451, 3268, 4128, 4902, 6536, 9804, 13072, 19608, 26144, 39216

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78414 and 78432. The biggest common factor number is the GCF number.
So the greatest common factor 78414 and 78432 is 6.

Also check out the Least Common Multiple of 78414 and 78432