What is the Greatest Common Factor of 89670 and 89689?

Greatest common factor (GCF) of 89670 and 89689 is 1.

GCF(89670,89689) = 1

We will now calculate the prime factors of 89670 and 89689, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89670 and 89689.

How to find the GCF of 89670 and 89689?

We will first find the prime factorization of 89670 and 89689. After we will calculate the factors of 89670 and 89689 and find the biggest common factor number .

Step-1: Prime Factorization of 89670

Prime factors of 89670 are 2, 3, 5, 7, 61. Prime factorization of 89670 in exponential form is:

89670 = 2¹ × 3¹ × 5¹ × 7² × 61¹

Step-2: Prime Factorization of 89689

Prime factors of 89689 are 89689. Prime factorization of 89689 in exponential form is:

89689 = 89689¹

Step-3: Factors of 89670

List of positive integer factors of 89670 that divides 89670 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 49, 61, 70, 98, 105, 122, 147, 183, 210, 245, 294, 305, 366, 427, 490, 610, 735, 854, 915, 1281, 1470, 1830, 2135, 2562, 2989, 4270, 5978, 6405, 8967, 12810, 14945, 17934, 29890, 44835

Step-4: Factors of 89689

List of positive integer factors of 89689 that divides 89670 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89670 and 89689. The biggest common factor number is the GCF number.
So the greatest common factor 89670 and 89689 is 1.

Also check out the Least Common Multiple of 89670 and 89689