What is the Greatest Common Factor of 82738 and 82750?

Greatest common factor (GCF) of 82738 and 82750 is 2.

GCF(82738,82750) = 2

We will now calculate the prime factors of 82738 and 82750, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82738 and 82750.

How to find the GCF of 82738 and 82750?

We will first find the prime factorization of 82738 and 82750. After we will calculate the factors of 82738 and 82750 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 82750

Prime factors of 82750 are 2, 5, 331. Prime factorization of 82750 in exponential form is:

82750 = 2¹ × 5³ × 331¹

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 82750

List of positive integer factors of 82750 that divides 82738 without a remainder.

1, 2, 5, 10, 25, 50, 125, 250, 331, 662, 1655, 3310, 8275, 16550, 41375

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82738 and 82750. The biggest common factor number is the GCF number.
So the greatest common factor 82738 and 82750 is 2.

Also check out the Least Common Multiple of 82738 and 82750