What is the Greatest Common Factor of 66665 and 66674?

Greatest common factor (GCF) of 66665 and 66674 is 1.

GCF(66665,66674) = 1

We will now calculate the prime factors of 66665 and 66674, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66665 and 66674.

How to find the GCF of 66665 and 66674?

We will first find the prime factorization of 66665 and 66674. After we will calculate the factors of 66665 and 66674 and find the biggest common factor number .

Step-1: Prime Factorization of 66665

Prime factors of 66665 are 5, 67, 199. Prime factorization of 66665 in exponential form is:

66665 = 5¹ × 67¹ × 199¹

Step-2: Prime Factorization of 66674

Prime factors of 66674 are 2, 17, 37, 53. Prime factorization of 66674 in exponential form is:

66674 = 2¹ × 17¹ × 37¹ × 53¹

Step-3: Factors of 66665

List of positive integer factors of 66665 that divides 66665 without a remainder.

1, 5, 67, 199, 335, 995, 13333

Step-4: Factors of 66674

List of positive integer factors of 66674 that divides 66665 without a remainder.

1, 2, 17, 34, 37, 53, 74, 106, 629, 901, 1258, 1802, 1961, 3922, 33337

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66665 and 66674. The biggest common factor number is the GCF number.
So the greatest common factor 66665 and 66674 is 1.

Also check out the Least Common Multiple of 66665 and 66674