What is the Greatest Common Factor of 78148 and 78162?

Greatest common factor (GCF) of 78148 and 78162 is 14.

GCF(78148,78162) = 14

We will now calculate the prime factors of 78148 and 78162, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78148 and 78162.

How to find the GCF of 78148 and 78162?

We will first find the prime factorization of 78148 and 78162. After we will calculate the factors of 78148 and 78162 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 78162

Prime factors of 78162 are 2, 3, 7, 1861. Prime factorization of 78162 in exponential form is:

78162 = 2¹ × 3¹ × 7¹ × 1861¹

Step-3: Factors of 78148

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

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

Step-4: Factors of 78162

List of positive integer factors of 78162 that divides 78148 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1861, 3722, 5583, 11166, 13027, 26054, 39081

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78148 and 78162. The biggest common factor number is the GCF number.
So the greatest common factor 78148 and 78162 is 14.

Also check out the Least Common Multiple of 78148 and 78162