What is the Greatest Common Factor of 39140 and 39160?

Greatest common factor (GCF) of 39140 and 39160 is 20.

GCF(39140,39160) = 20

We will now calculate the prime factors of 39140 and 39160, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39140 and 39160.

How to find the GCF of 39140 and 39160?

We will first find the prime factorization of 39140 and 39160. After we will calculate the factors of 39140 and 39160 and find the biggest common factor number .

Step-1: Prime Factorization of 39140

Prime factors of 39140 are 2, 5, 19, 103. Prime factorization of 39140 in exponential form is:

39140 = 2² × 5¹ × 19¹ × 103¹

Step-2: Prime Factorization of 39160

Prime factors of 39160 are 2, 5, 11, 89. Prime factorization of 39160 in exponential form is:

39160 = 2³ × 5¹ × 11¹ × 89¹

Step-3: Factors of 39140

List of positive integer factors of 39140 that divides 39140 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 103, 190, 206, 380, 412, 515, 1030, 1957, 2060, 3914, 7828, 9785, 19570

Step-4: Factors of 39160

List of positive integer factors of 39160 that divides 39140 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 89, 110, 178, 220, 356, 440, 445, 712, 890, 979, 1780, 1958, 3560, 3916, 4895, 7832, 9790, 19580

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39140 and 39160. The biggest common factor number is the GCF number.
So the greatest common factor 39140 and 39160 is 20.

Also check out the Least Common Multiple of 39140 and 39160