What is the Greatest Common Factor of 85332 and 85345?

Greatest common factor (GCF) of 85332 and 85345 is 13.

GCF(85332,85345) = 13

We will now calculate the prime factors of 85332 and 85345, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85332 and 85345.

How to find the GCF of 85332 and 85345?

We will first find the prime factorization of 85332 and 85345. After we will calculate the factors of 85332 and 85345 and find the biggest common factor number .

Step-1: Prime Factorization of 85332

Prime factors of 85332 are 2, 3, 13, 547. Prime factorization of 85332 in exponential form is:

85332 = 2² × 3¹ × 13¹ × 547¹

Step-2: Prime Factorization of 85345

Prime factors of 85345 are 5, 13, 101. Prime factorization of 85345 in exponential form is:

85345 = 5¹ × 13² × 101¹

Step-3: Factors of 85332

List of positive integer factors of 85332 that divides 85332 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 547, 1094, 1641, 2188, 3282, 6564, 7111, 14222, 21333, 28444, 42666

Step-4: Factors of 85345

List of positive integer factors of 85345 that divides 85332 without a remainder.

1, 5, 13, 65, 101, 169, 505, 845, 1313, 6565, 17069

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85332 and 85345. The biggest common factor number is the GCF number.
So the greatest common factor 85332 and 85345 is 13.

Also check out the Least Common Multiple of 85332 and 85345