What is the Greatest Common Factor of 69008 and 69012?

Greatest common factor (GCF) of 69008 and 69012 is 4.

GCF(69008,69012) = 4

We will now calculate the prime factors of 69008 and 69012, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69008 and 69012.

How to find the GCF of 69008 and 69012?

We will first find the prime factorization of 69008 and 69012. After we will calculate the factors of 69008 and 69012 and find the biggest common factor number .

Step-1: Prime Factorization of 69008

Prime factors of 69008 are 2, 19, 227. Prime factorization of 69008 in exponential form is:

69008 = 2⁴ × 19¹ × 227¹

Step-2: Prime Factorization of 69012

Prime factors of 69012 are 2, 3, 71. Prime factorization of 69012 in exponential form is:

69012 = 2² × 3⁵ × 71¹

Step-3: Factors of 69008

List of positive integer factors of 69008 that divides 69008 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 227, 304, 454, 908, 1816, 3632, 4313, 8626, 17252, 34504

Step-4: Factors of 69012

List of positive integer factors of 69012 that divides 69008 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 71, 81, 108, 142, 162, 213, 243, 284, 324, 426, 486, 639, 852, 972, 1278, 1917, 2556, 3834, 5751, 7668, 11502, 17253, 23004, 34506

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69008 and 69012. The biggest common factor number is the GCF number.
So the greatest common factor 69008 and 69012 is 4.

Also check out the Least Common Multiple of 69008 and 69012