What is the Greatest Common Factor of 81289 and 81302?

Greatest common factor (GCF) of 81289 and 81302 is 13.

GCF(81289,81302) = 13

We will now calculate the prime factors of 81289 and 81302, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81289 and 81302.

How to find the GCF of 81289 and 81302?

We will first find the prime factorization of 81289 and 81302. After we will calculate the factors of 81289 and 81302 and find the biggest common factor number .

Step-1: Prime Factorization of 81289

Prime factors of 81289 are 13, 37. Prime factorization of 81289 in exponential form is:

81289 = 13³ × 37¹

Step-2: Prime Factorization of 81302

Prime factors of 81302 are 2, 13, 53, 59. Prime factorization of 81302 in exponential form is:

81302 = 2¹ × 13¹ × 53¹ × 59¹

Step-3: Factors of 81289

List of positive integer factors of 81289 that divides 81289 without a remainder.

1, 13, 37, 169, 481, 2197, 6253

Step-4: Factors of 81302

List of positive integer factors of 81302 that divides 81289 without a remainder.

1, 2, 13, 26, 53, 59, 106, 118, 689, 767, 1378, 1534, 3127, 6254, 40651

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81289 and 81302. The biggest common factor number is the GCF number.
So the greatest common factor 81289 and 81302 is 13.

Also check out the Least Common Multiple of 81289 and 81302