What is the Greatest Common Factor of 66725 and 66743?

Greatest common factor (GCF) of 66725 and 66743 is 1.

GCF(66725,66743) = 1

We will now calculate the prime factors of 66725 and 66743, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66725 and 66743.

How to find the GCF of 66725 and 66743?

We will first find the prime factorization of 66725 and 66743. After we will calculate the factors of 66725 and 66743 and find the biggest common factor number .

Step-1: Prime Factorization of 66725

Prime factors of 66725 are 5, 17, 157. Prime factorization of 66725 in exponential form is:

66725 = 5² × 17¹ × 157¹

Step-2: Prime Factorization of 66743

Prime factors of 66743 are 31, 2153. Prime factorization of 66743 in exponential form is:

66743 = 31¹ × 2153¹

Step-3: Factors of 66725

List of positive integer factors of 66725 that divides 66725 without a remainder.

1, 5, 17, 25, 85, 157, 425, 785, 2669, 3925, 13345

Step-4: Factors of 66743

List of positive integer factors of 66743 that divides 66725 without a remainder.

1, 31, 2153

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66725 and 66743. The biggest common factor number is the GCF number.
So the greatest common factor 66725 and 66743 is 1.

Also check out the Least Common Multiple of 66725 and 66743