What is the Greatest Common Factor of 80162 and 80172?

Greatest common factor (GCF) of 80162 and 80172 is 2.

GCF(80162,80172) = 2

We will now calculate the prime factors of 80162 and 80172, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80162 and 80172.

How to find the GCF of 80162 and 80172?

We will first find the prime factorization of 80162 and 80172. After we will calculate the factors of 80162 and 80172 and find the biggest common factor number .

Step-1: Prime Factorization of 80162

Prime factors of 80162 are 2, 149, 269. Prime factorization of 80162 in exponential form is:

80162 = 2¹ × 149¹ × 269¹

Step-2: Prime Factorization of 80172

Prime factors of 80172 are 2, 3, 17, 131. Prime factorization of 80172 in exponential form is:

80172 = 2² × 3² × 17¹ × 131¹

Step-3: Factors of 80162

List of positive integer factors of 80162 that divides 80162 without a remainder.

1, 2, 149, 269, 298, 538, 40081

Step-4: Factors of 80172

List of positive integer factors of 80172 that divides 80162 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 131, 153, 204, 262, 306, 393, 524, 612, 786, 1179, 1572, 2227, 2358, 4454, 4716, 6681, 8908, 13362, 20043, 26724, 40086

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80162 and 80172. The biggest common factor number is the GCF number.
So the greatest common factor 80162 and 80172 is 2.

Also check out the Least Common Multiple of 80162 and 80172