What is the Greatest Common Factor of 21644 and 21651?

Greatest common factor (GCF) of 21644 and 21651 is 7.

GCF(21644,21651) = 7

We will now calculate the prime factors of 21644 and 21651, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21644 and 21651.

How to find the GCF of 21644 and 21651?

We will first find the prime factorization of 21644 and 21651. After we will calculate the factors of 21644 and 21651 and find the biggest common factor number .

Step-1: Prime Factorization of 21644

Prime factors of 21644 are 2, 7, 773. Prime factorization of 21644 in exponential form is:

21644 = 2² × 7¹ × 773¹

Step-2: Prime Factorization of 21651

Prime factors of 21651 are 3, 7, 1031. Prime factorization of 21651 in exponential form is:

21651 = 3¹ × 7¹ × 1031¹

Step-3: Factors of 21644

List of positive integer factors of 21644 that divides 21644 without a remainder.

1, 2, 4, 7, 14, 28, 773, 1546, 3092, 5411, 10822

Step-4: Factors of 21651

List of positive integer factors of 21651 that divides 21644 without a remainder.

1, 3, 7, 21, 1031, 3093, 7217

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21644 and 21651. The biggest common factor number is the GCF number.
So the greatest common factor 21644 and 21651 is 7.

Also check out the Least Common Multiple of 21644 and 21651