What is the Greatest Common Factor of 53492 and 53510?

Greatest common factor (GCF) of 53492 and 53510 is 2.

GCF(53492,53510) = 2

We will now calculate the prime factors of 53492 and 53510, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53492 and 53510.

How to find the GCF of 53492 and 53510?

We will first find the prime factorization of 53492 and 53510. After we will calculate the factors of 53492 and 53510 and find the biggest common factor number .

Step-1: Prime Factorization of 53492

Prime factors of 53492 are 2, 43, 311. Prime factorization of 53492 in exponential form is:

53492 = 2² × 43¹ × 311¹

Step-2: Prime Factorization of 53510

Prime factors of 53510 are 2, 5, 5351. Prime factorization of 53510 in exponential form is:

53510 = 2¹ × 5¹ × 5351¹

Step-3: Factors of 53492

List of positive integer factors of 53492 that divides 53492 without a remainder.

1, 2, 4, 43, 86, 172, 311, 622, 1244, 13373, 26746

Step-4: Factors of 53510

List of positive integer factors of 53510 that divides 53492 without a remainder.

1, 2, 5, 10, 5351, 10702, 26755

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53492 and 53510. The biggest common factor number is the GCF number.
So the greatest common factor 53492 and 53510 is 2.

Also check out the Least Common Multiple of 53492 and 53510