What is the Greatest Common Factor of 81763 and 81774?

Greatest common factor (GCF) of 81763 and 81774 is 11.

GCF(81763,81774) = 11

We will now calculate the prime factors of 81763 and 81774, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81763 and 81774.

How to find the GCF of 81763 and 81774?

We will first find the prime factorization of 81763 and 81774. After we will calculate the factors of 81763 and 81774 and find the biggest common factor number .

Step-1: Prime Factorization of 81763

Prime factors of 81763 are 11, 7433. Prime factorization of 81763 in exponential form is:

81763 = 11¹ × 7433¹

Step-2: 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-3: Factors of 81763

List of positive integer factors of 81763 that divides 81763 without a remainder.

1, 11, 7433

Step-4: Factors of 81774

List of positive integer factors of 81774 that divides 81763 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81763 and 81774. The biggest common factor number is the GCF number.
So the greatest common factor 81763 and 81774 is 11.

Also check out the Least Common Multiple of 81763 and 81774