What is the Greatest Common Factor of 81240 and 81258?

Greatest common factor (GCF) of 81240 and 81258 is 6.

GCF(81240,81258) = 6

We will now calculate the prime factors of 81240 and 81258, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81240 and 81258.

How to find the GCF of 81240 and 81258?

We will first find the prime factorization of 81240 and 81258. After we will calculate the factors of 81240 and 81258 and find the biggest common factor number .

Step-1: Prime Factorization of 81240

Prime factors of 81240 are 2, 3, 5, 677. Prime factorization of 81240 in exponential form is:

81240 = 2³ × 3¹ × 5¹ × 677¹

Step-2: Prime Factorization of 81258

Prime factors of 81258 are 2, 3, 29, 467. Prime factorization of 81258 in exponential form is:

81258 = 2¹ × 3¹ × 29¹ × 467¹

Step-3: Factors of 81240

List of positive integer factors of 81240 that divides 81240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 677, 1354, 2031, 2708, 3385, 4062, 5416, 6770, 8124, 10155, 13540, 16248, 20310, 27080, 40620

Step-4: Factors of 81258

List of positive integer factors of 81258 that divides 81240 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174, 467, 934, 1401, 2802, 13543, 27086, 40629

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81240 and 81258. The biggest common factor number is the GCF number.
So the greatest common factor 81240 and 81258 is 6.

Also check out the Least Common Multiple of 81240 and 81258