What is the Greatest Common Factor of 11782 and 11802?

Greatest common factor (GCF) of 11782 and 11802 is 2.

GCF(11782,11802) = 2

We will now calculate the prime factors of 11782 and 11802, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11782 and 11802.

How to find the GCF of 11782 and 11802?

We will first find the prime factorization of 11782 and 11802. After we will calculate the factors of 11782 and 11802 and find the biggest common factor number .

Step-1: Prime Factorization of 11782

Prime factors of 11782 are 2, 43, 137. Prime factorization of 11782 in exponential form is:

11782 = 2¹ × 43¹ × 137¹

Step-2: Prime Factorization of 11802

Prime factors of 11802 are 2, 3, 7, 281. Prime factorization of 11802 in exponential form is:

11802 = 2¹ × 3¹ × 7¹ × 281¹

Step-3: Factors of 11782

List of positive integer factors of 11782 that divides 11782 without a remainder.

1, 2, 43, 86, 137, 274, 5891

Step-4: Factors of 11802

List of positive integer factors of 11802 that divides 11782 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 281, 562, 843, 1686, 1967, 3934, 5901

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11782 and 11802. The biggest common factor number is the GCF number.
So the greatest common factor 11782 and 11802 is 2.

Also check out the Least Common Multiple of 11782 and 11802