What is the Greatest Common Factor of 53120 and 53129?

Greatest common factor (GCF) of 53120 and 53129 is 1.

GCF(53120,53129) = 1

We will now calculate the prime factors of 53120 and 53129, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53120 and 53129.

How to find the GCF of 53120 and 53129?

We will first find the prime factorization of 53120 and 53129. After we will calculate the factors of 53120 and 53129 and find the biggest common factor number .

Step-1: Prime Factorization of 53120

Prime factors of 53120 are 2, 5, 83. Prime factorization of 53120 in exponential form is:

53120 = 2⁷ × 5¹ × 83¹

Step-2: Prime Factorization of 53129

Prime factors of 53129 are 53129. Prime factorization of 53129 in exponential form is:

53129 = 53129¹

Step-3: Factors of 53120

List of positive integer factors of 53120 that divides 53120 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 83, 128, 160, 166, 320, 332, 415, 640, 664, 830, 1328, 1660, 2656, 3320, 5312, 6640, 10624, 13280, 26560

Step-4: Factors of 53129

List of positive integer factors of 53129 that divides 53120 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53120 and 53129. The biggest common factor number is the GCF number.
So the greatest common factor 53120 and 53129 is 1.

Also check out the Least Common Multiple of 53120 and 53129