What is the Greatest Common Factor of 52085 and 52096?

Greatest common factor (GCF) of 52085 and 52096 is 11.

GCF(52085,52096) = 11

We will now calculate the prime factors of 52085 and 52096, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52085 and 52096.

How to find the GCF of 52085 and 52096?

We will first find the prime factorization of 52085 and 52096. After we will calculate the factors of 52085 and 52096 and find the biggest common factor number .

Step-1: Prime Factorization of 52085

Prime factors of 52085 are 5, 11, 947. Prime factorization of 52085 in exponential form is:

52085 = 5¹ × 11¹ × 947¹

Step-2: Prime Factorization of 52096

Prime factors of 52096 are 2, 11, 37. Prime factorization of 52096 in exponential form is:

52096 = 2⁷ × 11¹ × 37¹

Step-3: Factors of 52085

List of positive integer factors of 52085 that divides 52085 without a remainder.

1, 5, 11, 55, 947, 4735, 10417

Step-4: Factors of 52096

List of positive integer factors of 52096 that divides 52085 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 37, 44, 64, 74, 88, 128, 148, 176, 296, 352, 407, 592, 704, 814, 1184, 1408, 1628, 2368, 3256, 4736, 6512, 13024, 26048

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52085 and 52096. The biggest common factor number is the GCF number.
So the greatest common factor 52085 and 52096 is 11.

Also check out the Least Common Multiple of 52085 and 52096