What is the Greatest Common Factor of 21518 and 21532?

Greatest common factor (GCF) of 21518 and 21532 is 14.

GCF(21518,21532) = 14

We will now calculate the prime factors of 21518 and 21532, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21518 and 21532.

How to find the GCF of 21518 and 21532?

We will first find the prime factorization of 21518 and 21532. After we will calculate the factors of 21518 and 21532 and find the biggest common factor number .

Step-1: Prime Factorization of 21518

Prime factors of 21518 are 2, 7, 29, 53. Prime factorization of 21518 in exponential form is:

21518 = 2¹ × 7¹ × 29¹ × 53¹

Step-2: Prime Factorization of 21532

Prime factors of 21532 are 2, 7, 769. Prime factorization of 21532 in exponential form is:

21532 = 2² × 7¹ × 769¹

Step-3: Factors of 21518

List of positive integer factors of 21518 that divides 21518 without a remainder.

1, 2, 7, 14, 29, 53, 58, 106, 203, 371, 406, 742, 1537, 3074, 10759

Step-4: Factors of 21532

List of positive integer factors of 21532 that divides 21518 without a remainder.

1, 2, 4, 7, 14, 28, 769, 1538, 3076, 5383, 10766

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21518 and 21532. The biggest common factor number is the GCF number.
So the greatest common factor 21518 and 21532 is 14.

Also check out the Least Common Multiple of 21518 and 21532