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What is the Greatest Common Factor of 81900 and 81906?

Greatest common factor (GCF) of 81900 and 81906 is 6.

GCF(81900,81906) = 6

We will now calculate the prime factors of 81900 and 81906, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81900 and 81906.

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How to find the GCF of 81900 and 81906?

We will first find the prime factorization of 81900 and 81906. After we will calculate the factors of 81900 and 81906 and find the biggest common factor number .

Step-1: Prime Factorization of 81900

Prime factors of 81900 are 2, 3, 5, 7, 13. Prime factorization of 81900 in exponential form is:

81900 = 22 × 32 × 52 × 71 × 131

Step-2: Prime Factorization of 81906

Prime factors of 81906 are 2, 3, 11, 17, 73. Prime factorization of 81906 in exponential form is:

81906 = 21 × 31 × 111 × 171 × 731

Step-3: Factors of 81900

List of positive integer factors of 81900 that divides 81900 without a remainder.

1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 13, 14, 15, 18, 20, 21, 25, 26, 28, 30, 35, 36, 39, 42, 45, 50, 52, 60, 63, 65, 70, 75, 78, 84, 90, 91, 100, 105, 117, 126, 130, 140, 150, 156, 175, 180, 182, 195, 210, 225, 234, 252, 260, 273, 300, 315, 325, 350, 364, 390, 420, 450, 455, 468, 525, 546, 585, 630, 650, 700, 780, 819, 900, 910, 975, 1050, 1092, 1170, 1260, 1300, 1365, 1575, 1638, 1820, 1950, 2100, 2275, 2340, 2730, 2925, 3150, 3276, 3900, 4095, 4550, 5460, 5850, 6300, 6825, 8190, 9100, 11700, 13650, 16380, 20475, 27300, 40950

Step-4: Factors of 81906

List of positive integer factors of 81906 that divides 81900 without a remainder.

1, 2, 3, 6, 11, 17, 22, 33, 34, 51, 66, 73, 102, 146, 187, 219, 374, 438, 561, 803, 1122, 1241, 1606, 2409, 2482, 3723, 4818, 7446, 13651, 27302, 40953

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81900 and 81906. The biggest common factor number is the GCF number.
So the greatest common factor 81900 and 81906 is 6.

Also check out the Least Common Multiple of 81900 and 81906