What is the Greatest Common Factor of 78446 and 78452?

Greatest common factor (GCF) of 78446 and 78452 is 2.

GCF(78446,78452) = 2

We will now calculate the prime factors of 78446 and 78452, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78446 and 78452.

How to find the GCF of 78446 and 78452?

We will first find the prime factorization of 78446 and 78452. After we will calculate the factors of 78446 and 78452 and find the biggest common factor number .

Step-1: Prime Factorization of 78446

Prime factors of 78446 are 2, 61, 643. Prime factorization of 78446 in exponential form is:

78446 = 2¹ × 61¹ × 643¹

Step-2: 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-3: Factors of 78446

List of positive integer factors of 78446 that divides 78446 without a remainder.

1, 2, 61, 122, 643, 1286, 39223

Step-4: Factors of 78452

List of positive integer factors of 78452 that divides 78446 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78446 and 78452. The biggest common factor number is the GCF number.
So the greatest common factor 78446 and 78452 is 2.

Also check out the Least Common Multiple of 78446 and 78452