What is the Greatest Common Factor of 83782 and 83802?

Greatest common factor (GCF) of 83782 and 83802 is 2.

GCF(83782,83802) = 2

We will now calculate the prime factors of 83782 and 83802, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83782 and 83802.

How to find the GCF of 83782 and 83802?

We will first find the prime factorization of 83782 and 83802. After we will calculate the factors of 83782 and 83802 and find the biggest common factor number .

Step-1: Prime Factorization of 83782

Prime factors of 83782 are 2, 163, 257. Prime factorization of 83782 in exponential form is:

83782 = 2¹ × 163¹ × 257¹

Step-2: Prime Factorization of 83802

Prime factors of 83802 are 2, 3, 13967. Prime factorization of 83802 in exponential form is:

83802 = 2¹ × 3¹ × 13967¹

Step-3: Factors of 83782

List of positive integer factors of 83782 that divides 83782 without a remainder.

1, 2, 163, 257, 326, 514, 41891

Step-4: Factors of 83802

List of positive integer factors of 83802 that divides 83782 without a remainder.

1, 2, 3, 6, 13967, 27934, 41901

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83782 and 83802. The biggest common factor number is the GCF number.
So the greatest common factor 83782 and 83802 is 2.

Also check out the Least Common Multiple of 83782 and 83802