What is the Greatest Common Factor of 85475 and 85488?

Greatest common factor (GCF) of 85475 and 85488 is 13.

GCF(85475,85488) = 13

We will now calculate the prime factors of 85475 and 85488, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85475 and 85488.

How to find the GCF of 85475 and 85488?

We will first find the prime factorization of 85475 and 85488. After we will calculate the factors of 85475 and 85488 and find the biggest common factor number .

Step-1: Prime Factorization of 85475

Prime factors of 85475 are 5, 13, 263. Prime factorization of 85475 in exponential form is:

85475 = 5² × 13¹ × 263¹

Step-2: Prime Factorization of 85488

Prime factors of 85488 are 2, 3, 13, 137. Prime factorization of 85488 in exponential form is:

85488 = 2⁴ × 3¹ × 13¹ × 137¹

Step-3: Factors of 85475

List of positive integer factors of 85475 that divides 85475 without a remainder.

1, 5, 13, 25, 65, 263, 325, 1315, 3419, 6575, 17095

Step-4: Factors of 85488

List of positive integer factors of 85488 that divides 85475 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 137, 156, 208, 274, 312, 411, 548, 624, 822, 1096, 1644, 1781, 2192, 3288, 3562, 5343, 6576, 7124, 10686, 14248, 21372, 28496, 42744

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85475 and 85488. The biggest common factor number is the GCF number.
So the greatest common factor 85475 and 85488 is 13.

Also check out the Least Common Multiple of 85475 and 85488