What is the Greatest Common Factor of 81774 and 81780?

Greatest common factor (GCF) of 81774 and 81780 is 6.

GCF(81774,81780) = 6

We will now calculate the prime factors of 81774 and 81780, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81774 and 81780.

How to find the GCF of 81774 and 81780?

We will first find the prime factorization of 81774 and 81780. After we will calculate the factors of 81774 and 81780 and find the biggest common factor number .

Step-1: Prime Factorization of 81774

Prime factors of 81774 are 2, 3, 7, 11, 59. Prime factorization of 81774 in exponential form is:

81774 = 2¹ × 3² × 7¹ × 11¹ × 59¹

Step-2: Prime Factorization of 81780

Prime factors of 81780 are 2, 3, 5, 29, 47. Prime factorization of 81780 in exponential form is:

81780 = 2² × 3¹ × 5¹ × 29¹ × 47¹

Step-3: Factors of 81774

List of positive integer factors of 81774 that divides 81774 without a remainder.

1, 2, 3, 6, 7, 9, 11, 14, 18, 21, 22, 33, 42, 59, 63, 66, 77, 99, 118, 126, 154, 177, 198, 231, 354, 413, 462, 531, 649, 693, 826, 1062, 1239, 1298, 1386, 1947, 2478, 3717, 3894, 4543, 5841, 7434, 9086, 11682, 13629, 27258, 40887

Step-4: Factors of 81780

List of positive integer factors of 81780 that divides 81774 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 29, 30, 47, 58, 60, 87, 94, 116, 141, 145, 174, 188, 235, 282, 290, 348, 435, 470, 564, 580, 705, 870, 940, 1363, 1410, 1740, 2726, 2820, 4089, 5452, 6815, 8178, 13630, 16356, 20445, 27260, 40890

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81774 and 81780. The biggest common factor number is the GCF number.
So the greatest common factor 81774 and 81780 is 6.

Also check out the Least Common Multiple of 81774 and 81780