What is the Greatest Common Factor of 85212 and 85232?

Greatest common factor (GCF) of 85212 and 85232 is 4.

GCF(85212,85232) = 4

We will now calculate the prime factors of 85212 and 85232, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85212 and 85232.

How to find the GCF of 85212 and 85232?

We will first find the prime factorization of 85212 and 85232. After we will calculate the factors of 85212 and 85232 and find the biggest common factor number .

Step-1: Prime Factorization of 85212

Prime factors of 85212 are 2, 3, 263. Prime factorization of 85212 in exponential form is:

85212 = 2² × 3⁴ × 263¹

Step-2: Prime Factorization of 85232

Prime factors of 85232 are 2, 7, 761. Prime factorization of 85232 in exponential form is:

85232 = 2⁴ × 7¹ × 761¹

Step-3: Factors of 85212

List of positive integer factors of 85212 that divides 85212 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 263, 324, 526, 789, 1052, 1578, 2367, 3156, 4734, 7101, 9468, 14202, 21303, 28404, 42606

Step-4: Factors of 85232

List of positive integer factors of 85232 that divides 85212 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 761, 1522, 3044, 5327, 6088, 10654, 12176, 21308, 42616

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85212 and 85232. The biggest common factor number is the GCF number.
So the greatest common factor 85212 and 85232 is 4.

Also check out the Least Common Multiple of 85212 and 85232