What is the Greatest Common Factor of 85225 and 85232?

Greatest common factor (GCF) of 85225 and 85232 is 7.

GCF(85225,85232) = 7

We will now calculate the prime factors of 85225 and 85232, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85225 and 85232.

How to find the GCF of 85225 and 85232?

We will first find the prime factorization of 85225 and 85232. After we will calculate the factors of 85225 and 85232 and find the biggest common factor number .

Step-1: Prime Factorization of 85225

Prime factors of 85225 are 5, 7, 487. Prime factorization of 85225 in exponential form is:

85225 = 5² × 7¹ × 487¹

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 85225

List of positive integer factors of 85225 that divides 85225 without a remainder.

1, 5, 7, 25, 35, 175, 487, 2435, 3409, 12175, 17045

Step-4: Factors of 85232

List of positive integer factors of 85232 that divides 85225 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 85225 and 85232. The biggest common factor number is the GCF number.
So the greatest common factor 85225 and 85232 is 7.

Also check out the Least Common Multiple of 85225 and 85232