What is the Greatest Common Factor of 78446 and 78450?

Greatest common factor (GCF) of 78446 and 78450 is 2.

GCF(78446,78450) = 2

We will now calculate the prime factors of 78446 and 78450, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78446 and 78450.

How to find the GCF of 78446 and 78450?

We will first find the prime factorization of 78446 and 78450. After we will calculate the factors of 78446 and 78450 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 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 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 78450

List of positive integer factors of 78450 that divides 78446 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 78446 and 78450. The biggest common factor number is the GCF number.
So the greatest common factor 78446 and 78450 is 2.

Also check out the Least Common Multiple of 78446 and 78450