What is the Greatest Common Factor of 84925 and 84935?

Greatest common factor (GCF) of 84925 and 84935 is 5.

GCF(84925,84935) = 5

We will now calculate the prime factors of 84925 and 84935, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84925 and 84935.

How to find the GCF of 84925 and 84935?

We will first find the prime factorization of 84925 and 84935. After we will calculate the factors of 84925 and 84935 and find the biggest common factor number .

Step-1: Prime Factorization of 84925

Prime factors of 84925 are 5, 43, 79. Prime factorization of 84925 in exponential form is:

84925 = 5² × 43¹ × 79¹

Step-2: Prime Factorization of 84935

Prime factors of 84935 are 5, 16987. Prime factorization of 84935 in exponential form is:

84935 = 5¹ × 16987¹

Step-3: Factors of 84925

List of positive integer factors of 84925 that divides 84925 without a remainder.

1, 5, 25, 43, 79, 215, 395, 1075, 1975, 3397, 16985

Step-4: Factors of 84935

List of positive integer factors of 84935 that divides 84925 without a remainder.

1, 5, 16987

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84925 and 84935. The biggest common factor number is the GCF number.
So the greatest common factor 84925 and 84935 is 5.

Also check out the Least Common Multiple of 84925 and 84935