What is the Greatest Common Factor of 39361 and 39368?

Greatest common factor (GCF) of 39361 and 39368 is 7.

GCF(39361,39368) = 7

We will now calculate the prime factors of 39361 and 39368, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39361 and 39368.

How to find the GCF of 39361 and 39368?

We will first find the prime factorization of 39361 and 39368. After we will calculate the factors of 39361 and 39368 and find the biggest common factor number .

Step-1: Prime Factorization of 39361

Prime factors of 39361 are 7, 5623. Prime factorization of 39361 in exponential form is:

39361 = 7¹ × 5623¹

Step-2: Prime Factorization of 39368

Prime factors of 39368 are 2, 7, 19, 37. Prime factorization of 39368 in exponential form is:

39368 = 2³ × 7¹ × 19¹ × 37¹

Step-3: Factors of 39361

List of positive integer factors of 39361 that divides 39361 without a remainder.

1, 7, 5623

Step-4: Factors of 39368

List of positive integer factors of 39368 that divides 39361 without a remainder.

1, 2, 4, 7, 8, 14, 19, 28, 37, 38, 56, 74, 76, 133, 148, 152, 259, 266, 296, 518, 532, 703, 1036, 1064, 1406, 2072, 2812, 4921, 5624, 9842, 19684

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39361 and 39368. The biggest common factor number is the GCF number.
So the greatest common factor 39361 and 39368 is 7.

Also check out the Least Common Multiple of 39361 and 39368