What is the Greatest Common Factor of 87680 and 87689?

Greatest common factor (GCF) of 87680 and 87689 is 1.

GCF(87680,87689) = 1

We will now calculate the prime factors of 87680 and 87689, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87680 and 87689.

How to find the GCF of 87680 and 87689?

We will first find the prime factorization of 87680 and 87689. After we will calculate the factors of 87680 and 87689 and find the biggest common factor number .

Step-1: Prime Factorization of 87680

Prime factors of 87680 are 2, 5, 137. Prime factorization of 87680 in exponential form is:

87680 = 2⁷ × 5¹ × 137¹

Step-2: Prime Factorization of 87689

Prime factors of 87689 are 7, 12527. Prime factorization of 87689 in exponential form is:

87689 = 7¹ × 12527¹

Step-3: Factors of 87680

List of positive integer factors of 87680 that divides 87680 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 137, 160, 274, 320, 548, 640, 685, 1096, 1370, 2192, 2740, 4384, 5480, 8768, 10960, 17536, 21920, 43840

Step-4: Factors of 87689

List of positive integer factors of 87689 that divides 87680 without a remainder.

1, 7, 12527

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87680 and 87689. The biggest common factor number is the GCF number.
So the greatest common factor 87680 and 87689 is 1.

Also check out the Least Common Multiple of 87680 and 87689