What is the Greatest Common Factor of 80192 and 80199?

Greatest common factor (GCF) of 80192 and 80199 is 7.

GCF(80192,80199) = 7

We will now calculate the prime factors of 80192 and 80199, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80192 and 80199.

How to find the GCF of 80192 and 80199?

We will first find the prime factorization of 80192 and 80199. After we will calculate the factors of 80192 and 80199 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 80199

Prime factors of 80199 are 3, 7, 19, 67. Prime factorization of 80199 in exponential form is:

80199 = 3² × 7¹ × 19¹ × 67¹

Step-3: Factors of 80192

List of positive integer factors of 80192 that divides 80192 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

Step-4: Factors of 80199

List of positive integer factors of 80199 that divides 80192 without a remainder.

1, 3, 7, 9, 19, 21, 57, 63, 67, 133, 171, 201, 399, 469, 603, 1197, 1273, 1407, 3819, 4221, 8911, 11457, 26733

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80192 and 80199. The biggest common factor number is the GCF number.
So the greatest common factor 80192 and 80199 is 7.

Also check out the Least Common Multiple of 80192 and 80199