What is the Greatest Common Factor of 85469 and 85488?

Greatest common factor (GCF) of 85469 and 85488 is 1.

GCF(85469,85488) = 1

We will now calculate the prime factors of 85469 and 85488, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85469 and 85488.

How to find the GCF of 85469 and 85488?

We will first find the prime factorization of 85469 and 85488. After we will calculate the factors of 85469 and 85488 and find the biggest common factor number .

Step-1: Prime Factorization of 85469

Prime factors of 85469 are 85469. Prime factorization of 85469 in exponential form is:

85469 = 85469¹

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 85469

List of positive integer factors of 85469 that divides 85469 without a remainder.

Step-4: Factors of 85488

List of positive integer factors of 85488 that divides 85469 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 85469 and 85488. The biggest common factor number is the GCF number.
So the greatest common factor 85469 and 85488 is 1.

Also check out the Least Common Multiple of 85469 and 85488