What is the Greatest Common Factor of 81228 and 81240?

Greatest common factor (GCF) of 81228 and 81240 is 12.

GCF(81228,81240) = 12

We will now calculate the prime factors of 81228 and 81240, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81228 and 81240.

How to find the GCF of 81228 and 81240?

We will first find the prime factorization of 81228 and 81240. After we will calculate the factors of 81228 and 81240 and find the biggest common factor number .

Step-1: Prime Factorization of 81228

Prime factors of 81228 are 2, 3, 7, 967. Prime factorization of 81228 in exponential form is:

81228 = 2² × 3¹ × 7¹ × 967¹

Step-2: 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-3: Factors of 81228

List of positive integer factors of 81228 that divides 81228 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 967, 1934, 2901, 3868, 5802, 6769, 11604, 13538, 20307, 27076, 40614

Step-4: Factors of 81240

List of positive integer factors of 81240 that divides 81228 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81228 and 81240. The biggest common factor number is the GCF number.
So the greatest common factor 81228 and 81240 is 12.

Also check out the Least Common Multiple of 81228 and 81240