What is the Greatest Common Factor of 78142 and 78148?

Greatest common factor (GCF) of 78142 and 78148 is 2.

GCF(78142,78148) = 2

We will now calculate the prime factors of 78142 and 78148, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78142 and 78148.

How to find the GCF of 78142 and 78148?

We will first find the prime factorization of 78142 and 78148. After we will calculate the factors of 78142 and 78148 and find the biggest common factor number .

Step-1: Prime Factorization of 78142

Prime factors of 78142 are 2, 89, 439. Prime factorization of 78142 in exponential form is:

78142 = 2¹ × 89¹ × 439¹

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 78142

List of positive integer factors of 78142 that divides 78142 without a remainder.

1, 2, 89, 178, 439, 878, 39071

Step-4: Factors of 78148

List of positive integer factors of 78148 that divides 78142 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 78142 and 78148. The biggest common factor number is the GCF number.
So the greatest common factor 78142 and 78148 is 2.

Also check out the Least Common Multiple of 78142 and 78148