What is the Greatest Common Factor of 78046 and 78054?

Greatest common factor (GCF) of 78046 and 78054 is 2.

GCF(78046,78054) = 2

We will now calculate the prime factors of 78046 and 78054, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78046 and 78054.

How to find the GCF of 78046 and 78054?

We will first find the prime factorization of 78046 and 78054. After we will calculate the factors of 78046 and 78054 and find the biggest common factor number .

Step-1: Prime Factorization of 78046

Prime factors of 78046 are 2, 39023. Prime factorization of 78046 in exponential form is:

78046 = 2¹ × 39023¹

Step-2: Prime Factorization of 78054

Prime factors of 78054 are 2, 3, 13009. Prime factorization of 78054 in exponential form is:

78054 = 2¹ × 3¹ × 13009¹

Step-3: Factors of 78046

List of positive integer factors of 78046 that divides 78046 without a remainder.

1, 2, 39023

Step-4: Factors of 78054

List of positive integer factors of 78054 that divides 78046 without a remainder.

1, 2, 3, 6, 13009, 26018, 39027

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78046 and 78054. The biggest common factor number is the GCF number.
So the greatest common factor 78046 and 78054 is 2.

Also check out the Least Common Multiple of 78046 and 78054