What is the Greatest Common Factor of 89206 and 89219?

Greatest common factor (GCF) of 89206 and 89219 is 13.

GCF(89206,89219) = 13

We will now calculate the prime factors of 89206 and 89219, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89206 and 89219.

How to find the GCF of 89206 and 89219?

We will first find the prime factorization of 89206 and 89219. After we will calculate the factors of 89206 and 89219 and find the biggest common factor number .

Step-1: Prime Factorization of 89206

Prime factors of 89206 are 2, 13, 47, 73. Prime factorization of 89206 in exponential form is:

89206 = 2¹ × 13¹ × 47¹ × 73¹

Step-2: Prime Factorization of 89219

Prime factors of 89219 are 13, 6863. Prime factorization of 89219 in exponential form is:

89219 = 13¹ × 6863¹

Step-3: Factors of 89206

List of positive integer factors of 89206 that divides 89206 without a remainder.

1, 2, 13, 26, 47, 73, 94, 146, 611, 949, 1222, 1898, 3431, 6862, 44603

Step-4: Factors of 89219

List of positive integer factors of 89219 that divides 89206 without a remainder.

1, 13, 6863

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89206 and 89219. The biggest common factor number is the GCF number.
So the greatest common factor 89206 and 89219 is 13.

Also check out the Least Common Multiple of 89206 and 89219