What is the Greatest Common Factor of 80136 and 80150?

Greatest common factor (GCF) of 80136 and 80150 is 14.

GCF(80136,80150) = 14

We will now calculate the prime factors of 80136 and 80150, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80136 and 80150.

How to find the GCF of 80136 and 80150?

We will first find the prime factorization of 80136 and 80150. After we will calculate the factors of 80136 and 80150 and find the biggest common factor number .

Step-1: Prime Factorization of 80136

Prime factors of 80136 are 2, 3, 7, 53. Prime factorization of 80136 in exponential form is:

80136 = 2³ × 3³ × 7¹ × 53¹

Step-2: Prime Factorization of 80150

Prime factors of 80150 are 2, 5, 7, 229. Prime factorization of 80150 in exponential form is:

80150 = 2¹ × 5² × 7¹ × 229¹

Step-3: Factors of 80136

List of positive integer factors of 80136 that divides 80136 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 27, 28, 36, 42, 53, 54, 56, 63, 72, 84, 106, 108, 126, 159, 168, 189, 212, 216, 252, 318, 371, 378, 424, 477, 504, 636, 742, 756, 954, 1113, 1272, 1431, 1484, 1512, 1908, 2226, 2862, 2968, 3339, 3816, 4452, 5724, 6678, 8904, 10017, 11448, 13356, 20034, 26712, 40068

Step-4: Factors of 80150

List of positive integer factors of 80150 that divides 80136 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 229, 350, 458, 1145, 1603, 2290, 3206, 5725, 8015, 11450, 16030, 40075

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80136 and 80150. The biggest common factor number is the GCF number.
So the greatest common factor 80136 and 80150 is 14.

Also check out the Least Common Multiple of 80136 and 80150