What is the Greatest Common Factor of 21012 and 21029?

Greatest common factor (GCF) of 21012 and 21029 is 17.

GCF(21012,21029) = 17

We will now calculate the prime factors of 21012 and 21029, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21012 and 21029.

How to find the GCF of 21012 and 21029?

We will first find the prime factorization of 21012 and 21029. After we will calculate the factors of 21012 and 21029 and find the biggest common factor number .

Step-1: Prime Factorization of 21012

Prime factors of 21012 are 2, 3, 17, 103. Prime factorization of 21012 in exponential form is:

21012 = 2² × 3¹ × 17¹ × 103¹

Step-2: Prime Factorization of 21029

Prime factors of 21029 are 17, 1237. Prime factorization of 21029 in exponential form is:

21029 = 17¹ × 1237¹

Step-3: Factors of 21012

List of positive integer factors of 21012 that divides 21012 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 103, 204, 206, 309, 412, 618, 1236, 1751, 3502, 5253, 7004, 10506

Step-4: Factors of 21029

List of positive integer factors of 21029 that divides 21012 without a remainder.

1, 17, 1237

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21012 and 21029. The biggest common factor number is the GCF number.
So the greatest common factor 21012 and 21029 is 17.

Also check out the Least Common Multiple of 21012 and 21029