What is the Greatest Common Factor of 53500 and 53506?

Greatest common factor (GCF) of 53500 and 53506 is 2.

GCF(53500,53506) = 2

We will now calculate the prime factors of 53500 and 53506, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53500 and 53506.

How to find the GCF of 53500 and 53506?

We will first find the prime factorization of 53500 and 53506. After we will calculate the factors of 53500 and 53506 and find the biggest common factor number .

Step-1: Prime Factorization of 53500

Prime factors of 53500 are 2, 5, 107. Prime factorization of 53500 in exponential form is:

53500 = 2² × 5³ × 107¹

Step-2: Prime Factorization of 53506

Prime factors of 53506 are 2, 31, 863. Prime factorization of 53506 in exponential form is:

53506 = 2¹ × 31¹ × 863¹

Step-3: Factors of 53500

List of positive integer factors of 53500 that divides 53500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 107, 125, 214, 250, 428, 500, 535, 1070, 2140, 2675, 5350, 10700, 13375, 26750

Step-4: Factors of 53506

List of positive integer factors of 53506 that divides 53500 without a remainder.

1, 2, 31, 62, 863, 1726, 26753

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53500 and 53506. The biggest common factor number is the GCF number.
So the greatest common factor 53500 and 53506 is 2.

Also check out the Least Common Multiple of 53500 and 53506