What is the Greatest Common Factor of 52096 and 52109?

Greatest common factor (GCF) of 52096 and 52109 is 1.

GCF(52096,52109) = 1

We will now calculate the prime factors of 52096 and 52109, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52096 and 52109.

How to find the GCF of 52096 and 52109?

We will first find the prime factorization of 52096 and 52109. After we will calculate the factors of 52096 and 52109 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 52109

Prime factors of 52109 are 107, 487. Prime factorization of 52109 in exponential form is:

52109 = 107¹ × 487¹

Step-3: Factors of 52096

List of positive integer factors of 52096 that divides 52096 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

Step-4: Factors of 52109

List of positive integer factors of 52109 that divides 52096 without a remainder.

1, 107, 487

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52096 and 52109. The biggest common factor number is the GCF number.
So the greatest common factor 52096 and 52109 is 1.

Also check out the Least Common Multiple of 52096 and 52109