What is the Greatest Common Factor of 69002 and 69006?

Greatest common factor (GCF) of 69002 and 69006 is 2.

GCF(69002,69006) = 2

We will now calculate the prime factors of 69002 and 69006, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69002 and 69006.

How to find the GCF of 69002 and 69006?

We will first find the prime factorization of 69002 and 69006. After we will calculate the factors of 69002 and 69006 and find the biggest common factor number .

Step-1: Prime Factorization of 69002

Prime factors of 69002 are 2, 34501. Prime factorization of 69002 in exponential form is:

69002 = 2¹ × 34501¹

Step-2: Prime Factorization of 69006

Prime factors of 69006 are 2, 3, 7, 31, 53. Prime factorization of 69006 in exponential form is:

69006 = 2¹ × 3¹ × 7¹ × 31¹ × 53¹

Step-3: Factors of 69002

List of positive integer factors of 69002 that divides 69002 without a remainder.

1, 2, 34501

Step-4: Factors of 69006

List of positive integer factors of 69006 that divides 69002 without a remainder.

1, 2, 3, 6, 7, 14, 21, 31, 42, 53, 62, 93, 106, 159, 186, 217, 318, 371, 434, 651, 742, 1113, 1302, 1643, 2226, 3286, 4929, 9858, 11501, 23002, 34503

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69002 and 69006. The biggest common factor number is the GCF number.
So the greatest common factor 69002 and 69006 is 2.

Also check out the Least Common Multiple of 69002 and 69006