What is the Greatest Common Factor of 85464 and 85473?

Greatest common factor (GCF) of 85464 and 85473 is 9.

GCF(85464,85473) = 9

We will now calculate the prime factors of 85464 and 85473, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85464 and 85473.

How to find the GCF of 85464 and 85473?

We will first find the prime factorization of 85464 and 85473. After we will calculate the factors of 85464 and 85473 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 85473

Prime factors of 85473 are 3, 9497. Prime factorization of 85473 in exponential form is:

85473 = 3² × 9497¹

Step-3: Factors of 85464

List of positive integer factors of 85464 that divides 85464 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

Step-4: Factors of 85473

List of positive integer factors of 85473 that divides 85464 without a remainder.

1, 3, 9, 9497, 28491

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85464 and 85473. The biggest common factor number is the GCF number.
So the greatest common factor 85464 and 85473 is 9.

Also check out the Least Common Multiple of 85464 and 85473