What is the Greatest Common Factor of 81302 and 81316?

Greatest common factor (GCF) of 81302 and 81316 is 2.

GCF(81302,81316) = 2

We will now calculate the prime factors of 81302 and 81316, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81302 and 81316.

How to find the GCF of 81302 and 81316?

We will first find the prime factorization of 81302 and 81316. After we will calculate the factors of 81302 and 81316 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 81316

Prime factors of 81316 are 2, 29, 701. Prime factorization of 81316 in exponential form is:

81316 = 2² × 29¹ × 701¹

Step-3: Factors of 81302

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

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

Step-4: Factors of 81316

List of positive integer factors of 81316 that divides 81302 without a remainder.

1, 2, 4, 29, 58, 116, 701, 1402, 2804, 20329, 40658

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81302 and 81316. The biggest common factor number is the GCF number.
So the greatest common factor 81302 and 81316 is 2.

Also check out the Least Common Multiple of 81302 and 81316