What is the Greatest Common Factor of 78452 and 78458?

Greatest common factor (GCF) of 78452 and 78458 is 2.

GCF(78452,78458) = 2

We will now calculate the prime factors of 78452 and 78458, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78452 and 78458.

How to find the GCF of 78452 and 78458?

We will first find the prime factorization of 78452 and 78458. After we will calculate the factors of 78452 and 78458 and find the biggest common factor number .

Step-1: Prime Factorization of 78452

Prime factors of 78452 are 2, 11, 1783. Prime factorization of 78452 in exponential form is:

78452 = 2² × 11¹ × 1783¹

Step-2: Prime Factorization of 78458

Prime factors of 78458 are 2, 39229. Prime factorization of 78458 in exponential form is:

78458 = 2¹ × 39229¹

Step-3: Factors of 78452

List of positive integer factors of 78452 that divides 78452 without a remainder.

1, 2, 4, 11, 22, 44, 1783, 3566, 7132, 19613, 39226

Step-4: Factors of 78458

List of positive integer factors of 78458 that divides 78452 without a remainder.

1, 2, 39229

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78452 and 78458. The biggest common factor number is the GCF number.
So the greatest common factor 78452 and 78458 is 2.

Also check out the Least Common Multiple of 78452 and 78458