What is the Greatest Common Factor of 85449 and 85464?

Greatest common factor (GCF) of 85449 and 85464 is 3.

GCF(85449,85464) = 3

We will now calculate the prime factors of 85449 and 85464, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85449 and 85464.

How to find the GCF of 85449 and 85464?

We will first find the prime factorization of 85449 and 85464. After we will calculate the factors of 85449 and 85464 and find the biggest common factor number .

Step-1: Prime Factorization of 85449

Prime factors of 85449 are 3, 7, 13, 313. Prime factorization of 85449 in exponential form is:

85449 = 3¹ × 7¹ × 13¹ × 313¹

Step-2: Prime Factorization of 85464

Prime factors of 85464 are 2, 3, 1187. Prime factorization of 85464 in exponential form is:

85464 = 2³ × 3² × 1187¹

Step-3: Factors of 85449

List of positive integer factors of 85449 that divides 85449 without a remainder.

1, 3, 7, 13, 21, 39, 91, 273, 313, 939, 2191, 4069, 6573, 12207, 28483

Step-4: Factors of 85464

List of positive integer factors of 85464 that divides 85449 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 1187, 2374, 3561, 4748, 7122, 9496, 10683, 14244, 21366, 28488, 42732

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85449 and 85464. The biggest common factor number is the GCF number.
So the greatest common factor 85449 and 85464 is 3.

Also check out the Least Common Multiple of 85449 and 85464