What is the Greatest Common Factor of 82148 and 82159?

Greatest common factor (GCF) of 82148 and 82159 is 11.

GCF(82148,82159) = 11

We will now calculate the prime factors of 82148 and 82159, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82148 and 82159.

How to find the GCF of 82148 and 82159?

We will first find the prime factorization of 82148 and 82159. After we will calculate the factors of 82148 and 82159 and find the biggest common factor number .

Step-1: Prime Factorization of 82148

Prime factors of 82148 are 2, 11, 1867. Prime factorization of 82148 in exponential form is:

82148 = 2² × 11¹ × 1867¹

Step-2: Prime Factorization of 82159

Prime factors of 82159 are 7, 11, 97. Prime factorization of 82159 in exponential form is:

82159 = 7¹ × 11² × 97¹

Step-3: Factors of 82148

List of positive integer factors of 82148 that divides 82148 without a remainder.

1, 2, 4, 11, 22, 44, 1867, 3734, 7468, 20537, 41074

Step-4: Factors of 82159

List of positive integer factors of 82159 that divides 82148 without a remainder.

1, 7, 11, 77, 97, 121, 679, 847, 1067, 7469, 11737

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82148 and 82159. The biggest common factor number is the GCF number.
So the greatest common factor 82148 and 82159 is 11.

Also check out the Least Common Multiple of 82148 and 82159