What is the Greatest Common Factor of 39368 and 39375?

Greatest common factor (GCF) of 39368 and 39375 is 7.

GCF(39368,39375) = 7

We will now calculate the prime factors of 39368 and 39375, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39368 and 39375.

How to find the GCF of 39368 and 39375?

We will first find the prime factorization of 39368 and 39375. After we will calculate the factors of 39368 and 39375 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 39375

Prime factors of 39375 are 3, 5, 7. Prime factorization of 39375 in exponential form is:

39375 = 3² × 5⁴ × 7¹

Step-3: Factors of 39368

List of positive integer factors of 39368 that divides 39368 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

Step-4: Factors of 39375

List of positive integer factors of 39375 that divides 39368 without a remainder.

1, 3, 5, 7, 9, 15, 21, 25, 35, 45, 63, 75, 105, 125, 175, 225, 315, 375, 525, 625, 875, 1125, 1575, 1875, 2625, 4375, 5625, 7875, 13125

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39368 and 39375. The biggest common factor number is the GCF number.
So the greatest common factor 39368 and 39375 is 7.

Also check out the Least Common Multiple of 39368 and 39375