What is the Greatest Common Factor of 38586 and 38602?

Greatest common factor (GCF) of 38586 and 38602 is 2.

GCF(38586,38602) = 2

We will now calculate the prime factors of 38586 and 38602, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38586 and 38602.

How to find the GCF of 38586 and 38602?

We will first find the prime factorization of 38586 and 38602. After we will calculate the factors of 38586 and 38602 and find the biggest common factor number .

Step-1: Prime Factorization of 38586

Prime factors of 38586 are 2, 3, 59, 109. Prime factorization of 38586 in exponential form is:

38586 = 2¹ × 3¹ × 59¹ × 109¹

Step-2: Prime Factorization of 38602

Prime factors of 38602 are 2, 19301. Prime factorization of 38602 in exponential form is:

38602 = 2¹ × 19301¹

Step-3: Factors of 38586

List of positive integer factors of 38586 that divides 38586 without a remainder.

1, 2, 3, 6, 59, 109, 118, 177, 218, 327, 354, 654, 6431, 12862, 19293

Step-4: Factors of 38602

List of positive integer factors of 38602 that divides 38586 without a remainder.

1, 2, 19301

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38586 and 38602. The biggest common factor number is the GCF number.
So the greatest common factor 38586 and 38602 is 2.

Also check out the Least Common Multiple of 38586 and 38602