What is the Greatest Common Factor of 21014 and 21031?

Greatest common factor (GCF) of 21014 and 21031 is 1.

GCF(21014,21031) = 1

We will now calculate the prime factors of 21014 and 21031, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21014 and 21031.

How to find the GCF of 21014 and 21031?

We will first find the prime factorization of 21014 and 21031. After we will calculate the factors of 21014 and 21031 and find the biggest common factor number .

Step-1: Prime Factorization of 21014

Prime factors of 21014 are 2, 7, 19, 79. Prime factorization of 21014 in exponential form is:

21014 = 2¹ × 7¹ × 19¹ × 79¹

Step-2: Prime Factorization of 21031

Prime factors of 21031 are 21031. Prime factorization of 21031 in exponential form is:

21031 = 21031¹

Step-3: Factors of 21014

List of positive integer factors of 21014 that divides 21014 without a remainder.

1, 2, 7, 14, 19, 38, 79, 133, 158, 266, 553, 1106, 1501, 3002, 10507

Step-4: Factors of 21031

List of positive integer factors of 21031 that divides 21014 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21014 and 21031. The biggest common factor number is the GCF number.
So the greatest common factor 21014 and 21031 is 1.

Also check out the Least Common Multiple of 21014 and 21031