What is the Greatest Common Factor of 89670 and 89679?

Greatest common factor (GCF) of 89670 and 89679 is 3.

GCF(89670,89679) = 3

We will now calculate the prime factors of 89670 and 89679, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89670 and 89679.

How to find the GCF of 89670 and 89679?

We will first find the prime factorization of 89670 and 89679. After we will calculate the factors of 89670 and 89679 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 89679

Prime factors of 89679 are 3, 167, 179. Prime factorization of 89679 in exponential form is:

89679 = 3¹ × 167¹ × 179¹

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 89679

List of positive integer factors of 89679 that divides 89670 without a remainder.

1, 3, 167, 179, 501, 537, 29893

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89670 and 89679. The biggest common factor number is the GCF number.
So the greatest common factor 89670 and 89679 is 3.

Also check out the Least Common Multiple of 89670 and 89679