What is the Greatest Common Factor of 72162 and 72174?

Greatest common factor (GCF) of 72162 and 72174 is 6.

GCF(72162,72174) = 6

We will now calculate the prime factors of 72162 and 72174, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72162 and 72174.

How to find the GCF of 72162 and 72174?

We will first find the prime factorization of 72162 and 72174. After we will calculate the factors of 72162 and 72174 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 72174

Prime factors of 72174 are 2, 3, 23, 523. Prime factorization of 72174 in exponential form is:

72174 = 2¹ × 3¹ × 23¹ × 523¹

Step-3: Factors of 72162

List of positive integer factors of 72162 that divides 72162 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

Step-4: Factors of 72174

List of positive integer factors of 72174 that divides 72162 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138, 523, 1046, 1569, 3138, 12029, 24058, 36087

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72162 and 72174. The biggest common factor number is the GCF number.
So the greatest common factor 72162 and 72174 is 6.

Also check out the Least Common Multiple of 72162 and 72174