What is the Greatest Common Factor of 84139 and 84150?

Greatest common factor (GCF) of 84139 and 84150 is 11.

GCF(84139,84150) = 11

We will now calculate the prime factors of 84139 and 84150, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84139 and 84150.

How to find the GCF of 84139 and 84150?

We will first find the prime factorization of 84139 and 84150. After we will calculate the factors of 84139 and 84150 and find the biggest common factor number .

Step-1: Prime Factorization of 84139

Prime factors of 84139 are 11, 7649. Prime factorization of 84139 in exponential form is:

84139 = 11¹ × 7649¹

Step-2: Prime Factorization of 84150

Prime factors of 84150 are 2, 3, 5, 11, 17. Prime factorization of 84150 in exponential form is:

84150 = 2¹ × 3² × 5² × 11¹ × 17¹

Step-3: Factors of 84139

List of positive integer factors of 84139 that divides 84139 without a remainder.

1, 11, 7649

Step-4: Factors of 84150

List of positive integer factors of 84150 that divides 84139 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 17, 18, 22, 25, 30, 33, 34, 45, 50, 51, 55, 66, 75, 85, 90, 99, 102, 110, 150, 153, 165, 170, 187, 198, 225, 255, 275, 306, 330, 374, 425, 450, 495, 510, 550, 561, 765, 825, 850, 935, 990, 1122, 1275, 1530, 1650, 1683, 1870, 2475, 2550, 2805, 3366, 3825, 4675, 4950, 5610, 7650, 8415, 9350, 14025, 16830, 28050, 42075

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84139 and 84150. The biggest common factor number is the GCF number.
So the greatest common factor 84139 and 84150 is 11.

Also check out the Least Common Multiple of 84139 and 84150