What is the Greatest Common Factor of 81076 and 81088?

Greatest common factor (GCF) of 81076 and 81088 is 4.

GCF(81076,81088) = 4

We will now calculate the prime factors of 81076 and 81088, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81076 and 81088.

How to find the GCF of 81076 and 81088?

We will first find the prime factorization of 81076 and 81088. After we will calculate the factors of 81076 and 81088 and find the biggest common factor number .

Step-1: Prime Factorization of 81076

Prime factors of 81076 are 2, 20269. Prime factorization of 81076 in exponential form is:

81076 = 2² × 20269¹

Step-2: Prime Factorization of 81088

Prime factors of 81088 are 2, 7, 181. Prime factorization of 81088 in exponential form is:

81088 = 2⁶ × 7¹ × 181¹

Step-3: Factors of 81076

List of positive integer factors of 81076 that divides 81076 without a remainder.

1, 2, 4, 20269, 40538

Step-4: Factors of 81088

List of positive integer factors of 81088 that divides 81076 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 181, 224, 362, 448, 724, 1267, 1448, 2534, 2896, 5068, 5792, 10136, 11584, 20272, 40544

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81076 and 81088. The biggest common factor number is the GCF number.
So the greatest common factor 81076 and 81088 is 4.

Also check out the Least Common Multiple of 81076 and 81088