What is the Greatest Common Factor of 66710 and 66725?

Greatest common factor (GCF) of 66710 and 66725 is 5.

GCF(66710,66725) = 5

We will now calculate the prime factors of 66710 and 66725, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66710 and 66725.

How to find the GCF of 66710 and 66725?

We will first find the prime factorization of 66710 and 66725. After we will calculate the factors of 66710 and 66725 and find the biggest common factor number .

Step-1: Prime Factorization of 66710

Prime factors of 66710 are 2, 5, 7, 953. Prime factorization of 66710 in exponential form is:

66710 = 2¹ × 5¹ × 7¹ × 953¹

Step-2: 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-3: Factors of 66710

List of positive integer factors of 66710 that divides 66710 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 953, 1906, 4765, 6671, 9530, 13342, 33355

Step-4: Factors of 66725

List of positive integer factors of 66725 that divides 66710 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66710 and 66725. The biggest common factor number is the GCF number.
So the greatest common factor 66710 and 66725 is 5.

Also check out the Least Common Multiple of 66710 and 66725