What is the Greatest Common Factor of 78138 and 78148?

Greatest common factor (GCF) of 78138 and 78148 is 2.

GCF(78138,78148) = 2

We will now calculate the prime factors of 78138 and 78148, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78138 and 78148.

How to find the GCF of 78138 and 78148?

We will first find the prime factorization of 78138 and 78148. After we will calculate the factors of 78138 and 78148 and find the biggest common factor number .

Step-1: Prime Factorization of 78138

Prime factors of 78138 are 2, 3, 1447. Prime factorization of 78138 in exponential form is:

78138 = 2¹ × 3³ × 1447¹

Step-2: Prime Factorization of 78148

Prime factors of 78148 are 2, 7, 2791. Prime factorization of 78148 in exponential form is:

78148 = 2² × 7¹ × 2791¹

Step-3: Factors of 78138

List of positive integer factors of 78138 that divides 78138 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 1447, 2894, 4341, 8682, 13023, 26046, 39069

Step-4: Factors of 78148

List of positive integer factors of 78148 that divides 78138 without a remainder.

1, 2, 4, 7, 14, 28, 2791, 5582, 11164, 19537, 39074

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78138 and 78148. The biggest common factor number is the GCF number.
So the greatest common factor 78138 and 78148 is 2.

Also check out the Least Common Multiple of 78138 and 78148