What is the Greatest Common Factor of 39680 and 39689?

Greatest common factor (GCF) of 39680 and 39689 is 1.

GCF(39680,39689) = 1

We will now calculate the prime factors of 39680 and 39689, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39680 and 39689.

How to find the GCF of 39680 and 39689?

We will first find the prime factorization of 39680 and 39689. After we will calculate the factors of 39680 and 39689 and find the biggest common factor number .

Step-1: Prime Factorization of 39680

Prime factors of 39680 are 2, 5, 31. Prime factorization of 39680 in exponential form is:

39680 = 2⁸ × 5¹ × 31¹

Step-2: Prime Factorization of 39689

Prime factors of 39689 are 13, 43, 71. Prime factorization of 39689 in exponential form is:

39689 = 13¹ × 43¹ × 71¹

Step-3: Factors of 39680

List of positive integer factors of 39680 that divides 39680 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 31, 32, 40, 62, 64, 80, 124, 128, 155, 160, 248, 256, 310, 320, 496, 620, 640, 992, 1240, 1280, 1984, 2480, 3968, 4960, 7936, 9920, 19840

Step-4: Factors of 39689

List of positive integer factors of 39689 that divides 39680 without a remainder.

1, 13, 43, 71, 559, 923, 3053

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39680 and 39689. The biggest common factor number is the GCF number.
So the greatest common factor 39680 and 39689 is 1.

Also check out the Least Common Multiple of 39680 and 39689