What is the Greatest Common Factor of 19623 and 19642?

Greatest common factor (GCF) of 19623 and 19642 is 1.

GCF(19623,19642) = 1

We will now calculate the prime factors of 19623 and 19642, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19623 and 19642.

How to find the GCF of 19623 and 19642?

We will first find the prime factorization of 19623 and 19642. After we will calculate the factors of 19623 and 19642 and find the biggest common factor number .

Step-1: Prime Factorization of 19623

Prime factors of 19623 are 3, 31, 211. Prime factorization of 19623 in exponential form is:

19623 = 3¹ × 31¹ × 211¹

Step-2: Prime Factorization of 19642

Prime factors of 19642 are 2, 7, 23, 61. Prime factorization of 19642 in exponential form is:

19642 = 2¹ × 7¹ × 23¹ × 61¹

Step-3: Factors of 19623

List of positive integer factors of 19623 that divides 19623 without a remainder.

1, 3, 31, 93, 211, 633, 6541

Step-4: Factors of 19642

List of positive integer factors of 19642 that divides 19623 without a remainder.

1, 2, 7, 14, 23, 46, 61, 122, 161, 322, 427, 854, 1403, 2806, 9821

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19623 and 19642. The biggest common factor number is the GCF number.
So the greatest common factor 19623 and 19642 is 1.

Also check out the Least Common Multiple of 19623 and 19642