What is the Greatest Common Factor of 80172 and 80192?

Greatest common factor (GCF) of 80172 and 80192 is 4.

GCF(80172,80192) = 4

We will now calculate the prime factors of 80172 and 80192, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80172 and 80192.

How to find the GCF of 80172 and 80192?

We will first find the prime factorization of 80172 and 80192. After we will calculate the factors of 80172 and 80192 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 80192

Prime factors of 80192 are 2, 7, 179. Prime factorization of 80192 in exponential form is:

80192 = 2⁶ × 7¹ × 179¹

Step-3: Factors of 80172

List of positive integer factors of 80172 that divides 80172 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

Step-4: Factors of 80192

List of positive integer factors of 80192 that divides 80172 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 179, 224, 358, 448, 716, 1253, 1432, 2506, 2864, 5012, 5728, 10024, 11456, 20048, 40096

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80172 and 80192. The biggest common factor number is the GCF number.
So the greatest common factor 80172 and 80192 is 4.

Also check out the Least Common Multiple of 80172 and 80192