What is the Greatest Common Factor of 81672 and 81692?

Greatest common factor (GCF) of 81672 and 81692 is 4.

GCF(81672,81692) = 4

We will now calculate the prime factors of 81672 and 81692, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81672 and 81692.

How to find the GCF of 81672 and 81692?

We will first find the prime factorization of 81672 and 81692. After we will calculate the factors of 81672 and 81692 and find the biggest common factor number .

Step-1: Prime Factorization of 81672

Prime factors of 81672 are 2, 3, 41, 83. Prime factorization of 81672 in exponential form is:

81672 = 2³ × 3¹ × 41¹ × 83¹

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 81672

List of positive integer factors of 81672 that divides 81672 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 83, 123, 164, 166, 246, 249, 328, 332, 492, 498, 664, 984, 996, 1992, 3403, 6806, 10209, 13612, 20418, 27224, 40836

Step-4: Factors of 81692

List of positive integer factors of 81692 that divides 81672 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 81672 and 81692. The biggest common factor number is the GCF number.
So the greatest common factor 81672 and 81692 is 4.

Also check out the Least Common Multiple of 81672 and 81692