What is the Greatest Common Factor of 71007 and 71016?

Greatest common factor (GCF) of 71007 and 71016 is 3.

GCF(71007,71016) = 3

We will now calculate the prime factors of 71007 and 71016, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71007 and 71016.

How to find the GCF of 71007 and 71016?

We will first find the prime factorization of 71007 and 71016. After we will calculate the factors of 71007 and 71016 and find the biggest common factor number .

Step-1: Prime Factorization of 71007

Prime factors of 71007 are 3, 23669. Prime factorization of 71007 in exponential form is:

71007 = 3¹ × 23669¹

Step-2: Prime Factorization of 71016

Prime factors of 71016 are 2, 3, 11, 269. Prime factorization of 71016 in exponential form is:

71016 = 2³ × 3¹ × 11¹ × 269¹

Step-3: Factors of 71007

List of positive integer factors of 71007 that divides 71007 without a remainder.

1, 3, 23669

Step-4: Factors of 71016

List of positive integer factors of 71016 that divides 71007 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264, 269, 538, 807, 1076, 1614, 2152, 2959, 3228, 5918, 6456, 8877, 11836, 17754, 23672, 35508

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71007 and 71016. The biggest common factor number is the GCF number.
So the greatest common factor 71007 and 71016 is 3.

Also check out the Least Common Multiple of 71007 and 71016