What is the Greatest Common Factor of 78432 and 78450?

Greatest common factor (GCF) of 78432 and 78450 is 6.

GCF(78432,78450) = 6

We will now calculate the prime factors of 78432 and 78450, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78432 and 78450.

How to find the GCF of 78432 and 78450?

We will first find the prime factorization of 78432 and 78450. After we will calculate the factors of 78432 and 78450 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 78450

Prime factors of 78450 are 2, 3, 5, 523. Prime factorization of 78450 in exponential form is:

78450 = 2¹ × 3¹ × 5² × 523¹

Step-3: Factors of 78432

List of positive integer factors of 78432 that divides 78432 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

Step-4: Factors of 78450

List of positive integer factors of 78450 that divides 78432 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 523, 1046, 1569, 2615, 3138, 5230, 7845, 13075, 15690, 26150, 39225

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78432 and 78450. The biggest common factor number is the GCF number.
So the greatest common factor 78432 and 78450 is 6.

Also check out the Least Common Multiple of 78432 and 78450