What is the Greatest Common Factor of 83725 and 83735?

Greatest common factor (GCF) of 83725 and 83735 is 5.

GCF(83725,83735) = 5

We will now calculate the prime factors of 83725 and 83735, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83725 and 83735.

How to find the GCF of 83725 and 83735?

We will first find the prime factorization of 83725 and 83735. After we will calculate the factors of 83725 and 83735 and find the biggest common factor number .

Step-1: Prime Factorization of 83725

Prime factors of 83725 are 5, 17, 197. Prime factorization of 83725 in exponential form is:

83725 = 5² × 17¹ × 197¹

Step-2: Prime Factorization of 83735

Prime factors of 83735 are 5, 16747. Prime factorization of 83735 in exponential form is:

83735 = 5¹ × 16747¹

Step-3: Factors of 83725

List of positive integer factors of 83725 that divides 83725 without a remainder.

1, 5, 17, 25, 85, 197, 425, 985, 3349, 4925, 16745

Step-4: Factors of 83735

List of positive integer factors of 83735 that divides 83725 without a remainder.

1, 5, 16747

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83725 and 83735. The biggest common factor number is the GCF number.
So the greatest common factor 83725 and 83735 is 5.

Also check out the Least Common Multiple of 83725 and 83735