What is the Greatest Common Factor of 21629 and 21642?

Greatest common factor (GCF) of 21629 and 21642 is 1.

GCF(21629,21642) = 1

We will now calculate the prime factors of 21629 and 21642, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21629 and 21642.

How to find the GCF of 21629 and 21642?

We will first find the prime factorization of 21629 and 21642. After we will calculate the factors of 21629 and 21642 and find the biggest common factor number .

Step-1: Prime Factorization of 21629

Prime factors of 21629 are 43, 503. Prime factorization of 21629 in exponential form is:

21629 = 43¹ × 503¹

Step-2: Prime Factorization of 21642

Prime factors of 21642 are 2, 3, 3607. Prime factorization of 21642 in exponential form is:

21642 = 2¹ × 3¹ × 3607¹

Step-3: Factors of 21629

List of positive integer factors of 21629 that divides 21629 without a remainder.

1, 43, 503

Step-4: Factors of 21642

List of positive integer factors of 21642 that divides 21629 without a remainder.

1, 2, 3, 6, 3607, 7214, 10821

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21629 and 21642. The biggest common factor number is the GCF number.
So the greatest common factor 21629 and 21642 is 1.

Also check out the Least Common Multiple of 21629 and 21642