What is the Greatest Common Factor of 84950 and 84958?

Greatest common factor (GCF) of 84950 and 84958 is 2.

GCF(84950,84958) = 2

We will now calculate the prime factors of 84950 and 84958, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84950 and 84958.

How to find the GCF of 84950 and 84958?

We will first find the prime factorization of 84950 and 84958. After we will calculate the factors of 84950 and 84958 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 84958

Prime factors of 84958 are 2, 107, 397. Prime factorization of 84958 in exponential form is:

84958 = 2¹ × 107¹ × 397¹

Step-3: Factors of 84950

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

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

Step-4: Factors of 84958

List of positive integer factors of 84958 that divides 84950 without a remainder.

1, 2, 107, 214, 397, 794, 42479

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84950 and 84958. The biggest common factor number is the GCF number.
So the greatest common factor 84950 and 84958 is 2.

Also check out the Least Common Multiple of 84950 and 84958