What is the Greatest Common Factor of 89670 and 89678?

Greatest common factor (GCF) of 89670 and 89678 is 2.

GCF(89670,89678) = 2

We will now calculate the prime factors of 89670 and 89678, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89670 and 89678.

How to find the GCF of 89670 and 89678?

We will first find the prime factorization of 89670 and 89678. After we will calculate the factors of 89670 and 89678 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 89678

Prime factors of 89678 are 2, 44839. Prime factorization of 89678 in exponential form is:

89678 = 2¹ × 44839¹

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 89678

List of positive integer factors of 89678 that divides 89670 without a remainder.

1, 2, 44839

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89670 and 89678. The biggest common factor number is the GCF number.
So the greatest common factor 89670 and 89678 is 2.

Also check out the Least Common Multiple of 89670 and 89678