What is the Greatest Common Factor of 72158 and 72162?

Greatest common factor (GCF) of 72158 and 72162 is 2.

GCF(72158,72162) = 2

We will now calculate the prime factors of 72158 and 72162, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72158 and 72162.

How to find the GCF of 72158 and 72162?

We will first find the prime factorization of 72158 and 72162. After we will calculate the factors of 72158 and 72162 and find the biggest common factor number .

Step-1: Prime Factorization of 72158

Prime factors of 72158 are 2, 109, 331. Prime factorization of 72158 in exponential form is:

72158 = 2¹ × 109¹ × 331¹

Step-2: Prime Factorization of 72162

Prime factors of 72162 are 2, 3, 19, 211. Prime factorization of 72162 in exponential form is:

72162 = 2¹ × 3² × 19¹ × 211¹

Step-3: Factors of 72158

List of positive integer factors of 72158 that divides 72158 without a remainder.

1, 2, 109, 218, 331, 662, 36079

Step-4: Factors of 72162

List of positive integer factors of 72162 that divides 72158 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 211, 342, 422, 633, 1266, 1899, 3798, 4009, 8018, 12027, 24054, 36081

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72158 and 72162. The biggest common factor number is the GCF number.
So the greatest common factor 72158 and 72162 is 2.

Also check out the Least Common Multiple of 72158 and 72162