What is the Greatest Common Factor of 81690 and 81708?

Greatest common factor (GCF) of 81690 and 81708 is 6.

GCF(81690,81708) = 6

We will now calculate the prime factors of 81690 and 81708, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81690 and 81708.

How to find the GCF of 81690 and 81708?

We will first find the prime factorization of 81690 and 81708. After we will calculate the factors of 81690 and 81708 and find the biggest common factor number .

Step-1: Prime Factorization of 81690

Prime factors of 81690 are 2, 3, 5, 7, 389. Prime factorization of 81690 in exponential form is:

81690 = 2¹ × 3¹ × 5¹ × 7¹ × 389¹

Step-2: Prime Factorization of 81708

Prime factors of 81708 are 2, 3, 11, 619. Prime factorization of 81708 in exponential form is:

81708 = 2² × 3¹ × 11¹ × 619¹

Step-3: Factors of 81690

List of positive integer factors of 81690 that divides 81690 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210, 389, 778, 1167, 1945, 2334, 2723, 3890, 5446, 5835, 8169, 11670, 13615, 16338, 27230, 40845

Step-4: Factors of 81708

List of positive integer factors of 81708 that divides 81690 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 619, 1238, 1857, 2476, 3714, 6809, 7428, 13618, 20427, 27236, 40854

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81690 and 81708. The biggest common factor number is the GCF number.
So the greatest common factor 81690 and 81708 is 6.

Also check out the Least Common Multiple of 81690 and 81708