What is the Greatest Common Factor of 81690 and 81710?

Greatest common factor (GCF) of 81690 and 81710 is 10.

GCF(81690,81710) = 10

We will now calculate the prime factors of 81690 and 81710, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81690 and 81710.

How to find the GCF of 81690 and 81710?

We will first find the prime factorization of 81690 and 81710. After we will calculate the factors of 81690 and 81710 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 81710

Prime factors of 81710 are 2, 5, 8171. Prime factorization of 81710 in exponential form is:

81710 = 2¹ × 5¹ × 8171¹

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 81710

List of positive integer factors of 81710 that divides 81690 without a remainder.

1, 2, 5, 10, 8171, 16342, 40855

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81690 and 81710. The biggest common factor number is the GCF number.
So the greatest common factor 81690 and 81710 is 10.

Also check out the Least Common Multiple of 81690 and 81710