What is the Greatest Common Factor of 81628 and 81640?

Greatest common factor (GCF) of 81628 and 81640 is 4.

GCF(81628,81640) = 4

We will now calculate the prime factors of 81628 and 81640, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81628 and 81640.

How to find the GCF of 81628 and 81640?

We will first find the prime factorization of 81628 and 81640. After we will calculate the factors of 81628 and 81640 and find the biggest common factor number .

Step-1: Prime Factorization of 81628

Prime factors of 81628 are 2, 20407. Prime factorization of 81628 in exponential form is:

81628 = 2² × 20407¹

Step-2: Prime Factorization of 81640

Prime factors of 81640 are 2, 5, 13, 157. Prime factorization of 81640 in exponential form is:

81640 = 2³ × 5¹ × 13¹ × 157¹

Step-3: Factors of 81628

List of positive integer factors of 81628 that divides 81628 without a remainder.

1, 2, 4, 20407, 40814

Step-4: Factors of 81640

List of positive integer factors of 81640 that divides 81628 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 157, 260, 314, 520, 628, 785, 1256, 1570, 2041, 3140, 4082, 6280, 8164, 10205, 16328, 20410, 40820

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81628 and 81640. The biggest common factor number is the GCF number.
So the greatest common factor 81628 and 81640 is 4.

Also check out the Least Common Multiple of 81628 and 81640