What is the Greatest Common Factor of 84930 and 84950?

Greatest common factor (GCF) of 84930 and 84950 is 10.

GCF(84930,84950) = 10

We will now calculate the prime factors of 84930 and 84950, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84930 and 84950.

How to find the GCF of 84930 and 84950?

We will first find the prime factorization of 84930 and 84950. After we will calculate the factors of 84930 and 84950 and find the biggest common factor number .

Step-1: Prime Factorization of 84930

Prime factors of 84930 are 2, 3, 5, 19, 149. Prime factorization of 84930 in exponential form is:

84930 = 2¹ × 3¹ × 5¹ × 19¹ × 149¹

Step-2: Prime Factorization of 84950

Prime factors of 84950 are 2, 5, 1699. Prime factorization of 84950 in exponential form is:

84950 = 2¹ × 5² × 1699¹

Step-3: Factors of 84930

List of positive integer factors of 84930 that divides 84930 without a remainder.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 149, 190, 285, 298, 447, 570, 745, 894, 1490, 2235, 2831, 4470, 5662, 8493, 14155, 16986, 28310, 42465

Step-4: Factors of 84950

List of positive integer factors of 84950 that divides 84930 without a remainder.

1, 2, 5, 10, 25, 50, 1699, 3398, 8495, 16990, 42475

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84930 and 84950. The biggest common factor number is the GCF number.
So the greatest common factor 84930 and 84950 is 10.

Also check out the Least Common Multiple of 84930 and 84950