What is the Greatest Common Factor of 39340 and 39354?

Greatest common factor (GCF) of 39340 and 39354 is 14.

GCF(39340,39354) = 14

We will now calculate the prime factors of 39340 and 39354, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39340 and 39354.

How to find the GCF of 39340 and 39354?

We will first find the prime factorization of 39340 and 39354. After we will calculate the factors of 39340 and 39354 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 39354

Prime factors of 39354 are 2, 3, 7, 937. Prime factorization of 39354 in exponential form is:

39354 = 2¹ × 3¹ × 7¹ × 937¹

Step-3: Factors of 39340

List of positive integer factors of 39340 that divides 39340 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

Step-4: Factors of 39354

List of positive integer factors of 39354 that divides 39340 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 937, 1874, 2811, 5622, 6559, 13118, 19677

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39340 and 39354. The biggest common factor number is the GCF number.
So the greatest common factor 39340 and 39354 is 14.

Also check out the Least Common Multiple of 39340 and 39354