What is the Greatest Common Factor of 89518 and 89531?

Greatest common factor (GCF) of 89518 and 89531 is 13.

GCF(89518,89531) = 13

We will now calculate the prime factors of 89518 and 89531, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89518 and 89531.

How to find the GCF of 89518 and 89531?

We will first find the prime factorization of 89518 and 89531. After we will calculate the factors of 89518 and 89531 and find the biggest common factor number .

Step-1: Prime Factorization of 89518

Prime factors of 89518 are 2, 11, 13, 313. Prime factorization of 89518 in exponential form is:

89518 = 2¹ × 11¹ × 13¹ × 313¹

Step-2: Prime Factorization of 89531

Prime factors of 89531 are 13, 71, 97. Prime factorization of 89531 in exponential form is:

89531 = 13¹ × 71¹ × 97¹

Step-3: Factors of 89518

List of positive integer factors of 89518 that divides 89518 without a remainder.

1, 2, 11, 13, 22, 26, 143, 286, 313, 626, 3443, 4069, 6886, 8138, 44759

Step-4: Factors of 89531

List of positive integer factors of 89531 that divides 89518 without a remainder.

1, 13, 71, 97, 923, 1261, 6887

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89518 and 89531. The biggest common factor number is the GCF number.
So the greatest common factor 89518 and 89531 is 13.

Also check out the Least Common Multiple of 89518 and 89531