What is the Greatest Common Factor of 78456 and 78470?

Greatest common factor (GCF) of 78456 and 78470 is 14.

GCF(78456,78470) = 14

We will now calculate the prime factors of 78456 and 78470, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78456 and 78470.

How to find the GCF of 78456 and 78470?

We will first find the prime factorization of 78456 and 78470. After we will calculate the factors of 78456 and 78470 and find the biggest common factor number .

Step-1: Prime Factorization of 78456

Prime factors of 78456 are 2, 3, 7, 467. Prime factorization of 78456 in exponential form is:

78456 = 2³ × 3¹ × 7¹ × 467¹

Step-2: Prime Factorization of 78470

Prime factors of 78470 are 2, 5, 7, 19, 59. Prime factorization of 78470 in exponential form is:

78470 = 2¹ × 5¹ × 7¹ × 19¹ × 59¹

Step-3: Factors of 78456

List of positive integer factors of 78456 that divides 78456 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 467, 934, 1401, 1868, 2802, 3269, 3736, 5604, 6538, 9807, 11208, 13076, 19614, 26152, 39228

Step-4: Factors of 78470

List of positive integer factors of 78470 that divides 78456 without a remainder.

1, 2, 5, 7, 10, 14, 19, 35, 38, 59, 70, 95, 118, 133, 190, 266, 295, 413, 590, 665, 826, 1121, 1330, 2065, 2242, 4130, 5605, 7847, 11210, 15694, 39235

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78456 and 78470. The biggest common factor number is the GCF number.
So the greatest common factor 78456 and 78470 is 14.

Also check out the Least Common Multiple of 78456 and 78470