What is the Greatest Common Factor of 39324 and 39340?

Greatest common factor (GCF) of 39324 and 39340 is 4.

GCF(39324,39340) = 4

We will now calculate the prime factors of 39324 and 39340, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39324 and 39340.

How to find the GCF of 39324 and 39340?

We will first find the prime factorization of 39324 and 39340. After we will calculate the factors of 39324 and 39340 and find the biggest common factor number .

Step-1: Prime Factorization of 39324

Prime factors of 39324 are 2, 3, 29, 113. Prime factorization of 39324 in exponential form is:

39324 = 2² × 3¹ × 29¹ × 113¹

Step-2: Prime Factorization of 39340

Prime factors of 39340 are 2, 5, 7, 281. Prime factorization of 39340 in exponential form is:

39340 = 2² × 5¹ × 7¹ × 281¹

Step-3: Factors of 39324

List of positive integer factors of 39324 that divides 39324 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 113, 116, 174, 226, 339, 348, 452, 678, 1356, 3277, 6554, 9831, 13108, 19662

Step-4: Factors of 39340

List of positive integer factors of 39340 that divides 39324 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 281, 562, 1124, 1405, 1967, 2810, 3934, 5620, 7868, 9835, 19670

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39324 and 39340. The biggest common factor number is the GCF number.
So the greatest common factor 39324 and 39340 is 4.

Also check out the Least Common Multiple of 39324 and 39340