What is the Greatest Common Factor of 85312 and 85332?

Greatest common factor (GCF) of 85312 and 85332 is 4.

GCF(85312,85332) = 4

We will now calculate the prime factors of 85312 and 85332, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85312 and 85332.

How to find the GCF of 85312 and 85332?

We will first find the prime factorization of 85312 and 85332. After we will calculate the factors of 85312 and 85332 and find the biggest common factor number .

Step-1: Prime Factorization of 85312

Prime factors of 85312 are 2, 31, 43. Prime factorization of 85312 in exponential form is:

85312 = 2⁶ × 31¹ × 43¹

Step-2: 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-3: Factors of 85312

List of positive integer factors of 85312 that divides 85312 without a remainder.

1, 2, 4, 8, 16, 31, 32, 43, 62, 64, 86, 124, 172, 248, 344, 496, 688, 992, 1333, 1376, 1984, 2666, 2752, 5332, 10664, 21328, 42656

Step-4: Factors of 85332

List of positive integer factors of 85332 that divides 85312 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85312 and 85332. The biggest common factor number is the GCF number.
So the greatest common factor 85312 and 85332 is 4.

Also check out the Least Common Multiple of 85312 and 85332