What is the Greatest Common Factor of 81242 and 81249?

Greatest common factor (GCF) of 81242 and 81249 is 7.

GCF(81242,81249) = 7

We will now calculate the prime factors of 81242 and 81249, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81242 and 81249.

How to find the GCF of 81242 and 81249?

We will first find the prime factorization of 81242 and 81249. After we will calculate the factors of 81242 and 81249 and find the biggest common factor number .

Step-1: Prime Factorization of 81242

Prime factors of 81242 are 2, 7, 829. Prime factorization of 81242 in exponential form is:

81242 = 2¹ × 7² × 829¹

Step-2: Prime Factorization of 81249

Prime factors of 81249 are 3, 7, 53, 73. Prime factorization of 81249 in exponential form is:

81249 = 3¹ × 7¹ × 53¹ × 73¹

Step-3: Factors of 81242

List of positive integer factors of 81242 that divides 81242 without a remainder.

1, 2, 7, 14, 49, 98, 829, 1658, 5803, 11606, 40621

Step-4: Factors of 81249

List of positive integer factors of 81249 that divides 81242 without a remainder.

1, 3, 7, 21, 53, 73, 159, 219, 371, 511, 1113, 1533, 3869, 11607, 27083

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81242 and 81249. The biggest common factor number is the GCF number.
So the greatest common factor 81242 and 81249 is 7.

Also check out the Least Common Multiple of 81242 and 81249