What is the Greatest Common Factor of 84608 and 84625?

Greatest common factor (GCF) of 84608 and 84625 is 1.

GCF(84608,84625) = 1

We will now calculate the prime factors of 84608 and 84625, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84608 and 84625.

How to find the GCF of 84608 and 84625?

We will first find the prime factorization of 84608 and 84625. After we will calculate the factors of 84608 and 84625 and find the biggest common factor number .

Step-1: Prime Factorization of 84608

Prime factors of 84608 are 2, 661. Prime factorization of 84608 in exponential form is:

84608 = 2⁷ × 661¹

Step-2: Prime Factorization of 84625

Prime factors of 84625 are 5, 677. Prime factorization of 84625 in exponential form is:

84625 = 5³ × 677¹

Step-3: Factors of 84608

List of positive integer factors of 84608 that divides 84608 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 661, 1322, 2644, 5288, 10576, 21152, 42304

Step-4: Factors of 84625

List of positive integer factors of 84625 that divides 84608 without a remainder.

1, 5, 25, 125, 677, 3385, 16925

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84608 and 84625. The biggest common factor number is the GCF number.
So the greatest common factor 84608 and 84625 is 1.

Also check out the Least Common Multiple of 84608 and 84625