What is the Greatest Common Factor of 84925 and 84945?

Greatest common factor (GCF) of 84925 and 84945 is 5.

GCF(84925,84945) = 5

We will now calculate the prime factors of 84925 and 84945, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84925 and 84945.

How to find the GCF of 84925 and 84945?

We will first find the prime factorization of 84925 and 84945. After we will calculate the factors of 84925 and 84945 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 84945

Prime factors of 84945 are 3, 5, 7, 809. Prime factorization of 84945 in exponential form is:

84945 = 3¹ × 5¹ × 7¹ × 809¹

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 84945

List of positive integer factors of 84945 that divides 84925 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 809, 2427, 4045, 5663, 12135, 16989, 28315

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84925 and 84945. The biggest common factor number is the GCF number.
So the greatest common factor 84925 and 84945 is 5.

Also check out the Least Common Multiple of 84925 and 84945