What is the Greatest Common Factor of 82752 and 82769?

Greatest common factor (GCF) of 82752 and 82769 is 1.

GCF(82752,82769) = 1

We will now calculate the prime factors of 82752 and 82769, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82752 and 82769.

How to find the GCF of 82752 and 82769?

We will first find the prime factorization of 82752 and 82769. After we will calculate the factors of 82752 and 82769 and find the biggest common factor number .

Step-1: Prime Factorization of 82752

Prime factors of 82752 are 2, 3, 431. Prime factorization of 82752 in exponential form is:

82752 = 2⁶ × 3¹ × 431¹

Step-2: Prime Factorization of 82769

Prime factors of 82769 are 37, 2237. Prime factorization of 82769 in exponential form is:

82769 = 37¹ × 2237¹

Step-3: Factors of 82752

List of positive integer factors of 82752 that divides 82752 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192, 431, 862, 1293, 1724, 2586, 3448, 5172, 6896, 10344, 13792, 20688, 27584, 41376

Step-4: Factors of 82769

List of positive integer factors of 82769 that divides 82752 without a remainder.

1, 37, 2237

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82752 and 82769. The biggest common factor number is the GCF number.
So the greatest common factor 82752 and 82769 is 1.

Also check out the Least Common Multiple of 82752 and 82769