What is the Greatest Common Factor of 13783 and 13797?

Greatest common factor (GCF) of 13783 and 13797 is 7.

GCF(13783,13797) = 7

We will now calculate the prime factors of 13783 and 13797, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13783 and 13797.

How to find the GCF of 13783 and 13797?

We will first find the prime factorization of 13783 and 13797. After we will calculate the factors of 13783 and 13797 and find the biggest common factor number .

Step-1: Prime Factorization of 13783

Prime factors of 13783 are 7, 11, 179. Prime factorization of 13783 in exponential form is:

13783 = 7¹ × 11¹ × 179¹

Step-2: Prime Factorization of 13797

Prime factors of 13797 are 3, 7, 73. Prime factorization of 13797 in exponential form is:

13797 = 3³ × 7¹ × 73¹

Step-3: Factors of 13783

List of positive integer factors of 13783 that divides 13783 without a remainder.

1, 7, 11, 77, 179, 1253, 1969

Step-4: Factors of 13797

List of positive integer factors of 13797 that divides 13783 without a remainder.

1, 3, 7, 9, 21, 27, 63, 73, 189, 219, 511, 657, 1533, 1971, 4599

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13783 and 13797. The biggest common factor number is the GCF number.
So the greatest common factor 13783 and 13797 is 7.

Also check out the Least Common Multiple of 13783 and 13797