What is the Greatest Common Factor of 69472 and 69488?

Greatest common factor (GCF) of 69472 and 69488 is 16.

GCF(69472,69488) = 16

We will now calculate the prime factors of 69472 and 69488, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69472 and 69488.

How to find the GCF of 69472 and 69488?

We will first find the prime factorization of 69472 and 69488. After we will calculate the factors of 69472 and 69488 and find the biggest common factor number .

Step-1: Prime Factorization of 69472

Prime factors of 69472 are 2, 13, 167. Prime factorization of 69472 in exponential form is:

69472 = 2⁵ × 13¹ × 167¹

Step-2: Prime Factorization of 69488

Prime factors of 69488 are 2, 43, 101. Prime factorization of 69488 in exponential form is:

69488 = 2⁴ × 43¹ × 101¹

Step-3: Factors of 69472

List of positive integer factors of 69472 that divides 69472 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 167, 208, 334, 416, 668, 1336, 2171, 2672, 4342, 5344, 8684, 17368, 34736

Step-4: Factors of 69488

List of positive integer factors of 69488 that divides 69472 without a remainder.

1, 2, 4, 8, 16, 43, 86, 101, 172, 202, 344, 404, 688, 808, 1616, 4343, 8686, 17372, 34744

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69472 and 69488. The biggest common factor number is the GCF number.
So the greatest common factor 69472 and 69488 is 16.

Also check out the Least Common Multiple of 69472 and 69488