What is the Greatest Common Factor of 19669 and 19682?

Greatest common factor (GCF) of 19669 and 19682 is 13.

GCF(19669,19682) = 13

We will now calculate the prime factors of 19669 and 19682, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19669 and 19682.

How to find the GCF of 19669 and 19682?

We will first find the prime factorization of 19669 and 19682. After we will calculate the factors of 19669 and 19682 and find the biggest common factor number .

Step-1: Prime Factorization of 19669

Prime factors of 19669 are 13, 17, 89. Prime factorization of 19669 in exponential form is:

19669 = 13¹ × 17¹ × 89¹

Step-2: Prime Factorization of 19682

Prime factors of 19682 are 2, 13, 757. Prime factorization of 19682 in exponential form is:

19682 = 2¹ × 13¹ × 757¹

Step-3: Factors of 19669

List of positive integer factors of 19669 that divides 19669 without a remainder.

1, 13, 17, 89, 221, 1157, 1513

Step-4: Factors of 19682

List of positive integer factors of 19682 that divides 19669 without a remainder.

1, 2, 13, 26, 757, 1514, 9841

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19669 and 19682. The biggest common factor number is the GCF number.
So the greatest common factor 19669 and 19682 is 13.

Also check out the Least Common Multiple of 19669 and 19682