What is the Greatest Common Factor of 69008 and 69024?

Greatest common factor (GCF) of 69008 and 69024 is 16.

GCF(69008,69024) = 16

We will now calculate the prime factors of 69008 and 69024, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69008 and 69024.

How to find the GCF of 69008 and 69024?

We will first find the prime factorization of 69008 and 69024. After we will calculate the factors of 69008 and 69024 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 69024

Prime factors of 69024 are 2, 3, 719. Prime factorization of 69024 in exponential form is:

69024 = 2⁵ × 3¹ × 719¹

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 69024

List of positive integer factors of 69024 that divides 69008 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 719, 1438, 2157, 2876, 4314, 5752, 8628, 11504, 17256, 23008, 34512

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69008 and 69024. The biggest common factor number is the GCF number.
So the greatest common factor 69008 and 69024 is 16.

Also check out the Least Common Multiple of 69008 and 69024