What is the Greatest Common Factor of 66725 and 66740?

Greatest common factor (GCF) of 66725 and 66740 is 5.

GCF(66725,66740) = 5

We will now calculate the prime factors of 66725 and 66740, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66725 and 66740.

How to find the GCF of 66725 and 66740?

We will first find the prime factorization of 66725 and 66740. After we will calculate the factors of 66725 and 66740 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 66740

Prime factors of 66740 are 2, 5, 47, 71. Prime factorization of 66740 in exponential form is:

66740 = 2² × 5¹ × 47¹ × 71¹

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 66740

List of positive integer factors of 66740 that divides 66725 without a remainder.

1, 2, 4, 5, 10, 20, 47, 71, 94, 142, 188, 235, 284, 355, 470, 710, 940, 1420, 3337, 6674, 13348, 16685, 33370

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66725 and 66740. The biggest common factor number is the GCF number.
So the greatest common factor 66725 and 66740 is 5.

Also check out the Least Common Multiple of 66725 and 66740