What is the Greatest Common Factor of 81680 and 81692?

Greatest common factor (GCF) of 81680 and 81692 is 4.

GCF(81680,81692) = 4

We will now calculate the prime factors of 81680 and 81692, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81680 and 81692.

How to find the GCF of 81680 and 81692?

We will first find the prime factorization of 81680 and 81692. After we will calculate the factors of 81680 and 81692 and find the biggest common factor number .

Step-1: Prime Factorization of 81680

Prime factors of 81680 are 2, 5, 1021. Prime factorization of 81680 in exponential form is:

81680 = 2⁴ × 5¹ × 1021¹

Step-2: Prime Factorization of 81692

Prime factors of 81692 are 2, 13, 1571. Prime factorization of 81692 in exponential form is:

81692 = 2² × 13¹ × 1571¹

Step-3: Factors of 81680

List of positive integer factors of 81680 that divides 81680 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 1021, 2042, 4084, 5105, 8168, 10210, 16336, 20420, 40840

Step-4: Factors of 81692

List of positive integer factors of 81692 that divides 81680 without a remainder.

1, 2, 4, 13, 26, 52, 1571, 3142, 6284, 20423, 40846

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81680 and 81692. The biggest common factor number is the GCF number.
So the greatest common factor 81680 and 81692 is 4.

Also check out the Least Common Multiple of 81680 and 81692