What is the Greatest Common Factor of 69472 and 69485?

Greatest common factor (GCF) of 69472 and 69485 is 13.

GCF(69472,69485) = 13

We will now calculate the prime factors of 69472 and 69485, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69472 and 69485.

How to find the GCF of 69472 and 69485?

We will first find the prime factorization of 69472 and 69485. After we will calculate the factors of 69472 and 69485 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 69485

Prime factors of 69485 are 5, 13, 1069. Prime factorization of 69485 in exponential form is:

69485 = 5¹ × 13¹ × 1069¹

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 69485

List of positive integer factors of 69485 that divides 69472 without a remainder.

1, 5, 13, 65, 1069, 5345, 13897

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69472 and 69485. The biggest common factor number is the GCF number.
So the greatest common factor 69472 and 69485 is 13.

Also check out the Least Common Multiple of 69472 and 69485