What is the Greatest Common Factor of 89670 and 89685?

Greatest common factor (GCF) of 89670 and 89685 is 15.

GCF(89670,89685) = 15

We will now calculate the prime factors of 89670 and 89685, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89670 and 89685.

How to find the GCF of 89670 and 89685?

We will first find the prime factorization of 89670 and 89685. After we will calculate the factors of 89670 and 89685 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 89685

Prime factors of 89685 are 3, 5, 1993. Prime factorization of 89685 in exponential form is:

89685 = 3² × 5¹ × 1993¹

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 89685

List of positive integer factors of 89685 that divides 89670 without a remainder.

1, 3, 5, 9, 15, 45, 1993, 5979, 9965, 17937, 29895

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89670 and 89685. The biggest common factor number is the GCF number.
So the greatest common factor 89670 and 89685 is 15.

Also check out the Least Common Multiple of 89670 and 89685