What is the Greatest Common Factor of 82738 and 82752?

Greatest common factor (GCF) of 82738 and 82752 is 2.

GCF(82738,82752) = 2

We will now calculate the prime factors of 82738 and 82752, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82738 and 82752.

How to find the GCF of 82738 and 82752?

We will first find the prime factorization of 82738 and 82752. After we will calculate the factors of 82738 and 82752 and find the biggest common factor number .

Step-1: Prime Factorization of 82738

Prime factors of 82738 are 2, 41, 1009. Prime factorization of 82738 in exponential form is:

82738 = 2¹ × 41¹ × 1009¹

Step-2: 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-3: Factors of 82738

List of positive integer factors of 82738 that divides 82738 without a remainder.

1, 2, 41, 82, 1009, 2018, 41369

Step-4: Factors of 82752

List of positive integer factors of 82752 that divides 82738 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82738 and 82752. The biggest common factor number is the GCF number.
So the greatest common factor 82738 and 82752 is 2.

Also check out the Least Common Multiple of 82738 and 82752