What is the Greatest Common Factor of 85488 and 85492?

Greatest common factor (GCF) of 85488 and 85492 is 4.

GCF(85488,85492) = 4

We will now calculate the prime factors of 85488 and 85492, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85488 and 85492.

How to find the GCF of 85488 and 85492?

We will first find the prime factorization of 85488 and 85492. After we will calculate the factors of 85488 and 85492 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 85492

Prime factors of 85492 are 2, 11, 29, 67. Prime factorization of 85492 in exponential form is:

85492 = 2² × 11¹ × 29¹ × 67¹

Step-3: Factors of 85488

List of positive integer factors of 85488 that divides 85488 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

Step-4: Factors of 85492

List of positive integer factors of 85492 that divides 85488 without a remainder.

1, 2, 4, 11, 22, 29, 44, 58, 67, 116, 134, 268, 319, 638, 737, 1276, 1474, 1943, 2948, 3886, 7772, 21373, 42746

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85488 and 85492. The biggest common factor number is the GCF number.
So the greatest common factor 85488 and 85492 is 4.

Also check out the Least Common Multiple of 85488 and 85492