What is the Greatest Common Factor of 78454 and 78470?

Greatest common factor (GCF) of 78454 and 78470 is 2.

GCF(78454,78470) = 2

We will now calculate the prime factors of 78454 and 78470, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78454 and 78470.

How to find the GCF of 78454 and 78470?

We will first find the prime factorization of 78454 and 78470. After we will calculate the factors of 78454 and 78470 and find the biggest common factor number .

Step-1: Prime Factorization of 78454

Prime factors of 78454 are 2, 39227. Prime factorization of 78454 in exponential form is:

78454 = 2¹ × 39227¹

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 78454

List of positive integer factors of 78454 that divides 78454 without a remainder.

1, 2, 39227

Step-4: Factors of 78470

List of positive integer factors of 78470 that divides 78454 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 78454 and 78470. The biggest common factor number is the GCF number.
So the greatest common factor 78454 and 78470 is 2.

Also check out the Least Common Multiple of 78454 and 78470