What is the Greatest Common Factor of 21032 and 21038?

Greatest common factor (GCF) of 21032 and 21038 is 2.

GCF(21032,21038) = 2

We will now calculate the prime factors of 21032 and 21038, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21032 and 21038.

How to find the GCF of 21032 and 21038?

We will first find the prime factorization of 21032 and 21038. After we will calculate the factors of 21032 and 21038 and find the biggest common factor number .

Step-1: Prime Factorization of 21032

Prime factors of 21032 are 2, 11, 239. Prime factorization of 21032 in exponential form is:

21032 = 2³ × 11¹ × 239¹

Step-2: Prime Factorization of 21038

Prime factors of 21038 are 2, 67, 157. Prime factorization of 21038 in exponential form is:

21038 = 2¹ × 67¹ × 157¹

Step-3: Factors of 21032

List of positive integer factors of 21032 that divides 21032 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 239, 478, 956, 1912, 2629, 5258, 10516

Step-4: Factors of 21038

List of positive integer factors of 21038 that divides 21032 without a remainder.

1, 2, 67, 134, 157, 314, 10519

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21032 and 21038. The biggest common factor number is the GCF number.
So the greatest common factor 21032 and 21038 is 2.

Also check out the Least Common Multiple of 21032 and 21038