What is the Greatest Common Factor of 13762 and 13782?

Greatest common factor (GCF) of 13762 and 13782 is 2.

GCF(13762,13782) = 2

We will now calculate the prime factors of 13762 and 13782, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13762 and 13782.

How to find the GCF of 13762 and 13782?

We will first find the prime factorization of 13762 and 13782. After we will calculate the factors of 13762 and 13782 and find the biggest common factor number .

Step-1: Prime Factorization of 13762

Prime factors of 13762 are 2, 7, 983. Prime factorization of 13762 in exponential form is:

13762 = 2¹ × 7¹ × 983¹

Step-2: Prime Factorization of 13782

Prime factors of 13782 are 2, 3, 2297. Prime factorization of 13782 in exponential form is:

13782 = 2¹ × 3¹ × 2297¹

Step-3: Factors of 13762

List of positive integer factors of 13762 that divides 13762 without a remainder.

1, 2, 7, 14, 983, 1966, 6881

Step-4: Factors of 13782

List of positive integer factors of 13782 that divides 13762 without a remainder.

1, 2, 3, 6, 2297, 4594, 6891

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13762 and 13782. The biggest common factor number is the GCF number.
So the greatest common factor 13762 and 13782 is 2.

Also check out the Least Common Multiple of 13762 and 13782