What is the Greatest Common Factor of 85292 and 85296?

Greatest common factor (GCF) of 85292 and 85296 is 4.

GCF(85292,85296) = 4

We will now calculate the prime factors of 85292 and 85296, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85292 and 85296.

How to find the GCF of 85292 and 85296?

We will first find the prime factorization of 85292 and 85296. After we will calculate the factors of 85292 and 85296 and find the biggest common factor number .

Step-1: Prime Factorization of 85292

Prime factors of 85292 are 2, 21323. Prime factorization of 85292 in exponential form is:

85292 = 2² × 21323¹

Step-2: Prime Factorization of 85296

Prime factors of 85296 are 2, 3, 1777. Prime factorization of 85296 in exponential form is:

85296 = 2⁴ × 3¹ × 1777¹

Step-3: Factors of 85292

List of positive integer factors of 85292 that divides 85292 without a remainder.

1, 2, 4, 21323, 42646

Step-4: Factors of 85296

List of positive integer factors of 85296 that divides 85292 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1777, 3554, 5331, 7108, 10662, 14216, 21324, 28432, 42648

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85292 and 85296. The biggest common factor number is the GCF number.
So the greatest common factor 85292 and 85296 is 4.

Also check out the Least Common Multiple of 85292 and 85296