What is the Greatest Common Factor of 53605 and 53613?

Greatest common factor (GCF) of 53605 and 53613 is 1.

GCF(53605,53613) = 1

We will now calculate the prime factors of 53605 and 53613, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53605 and 53613.

How to find the GCF of 53605 and 53613?

We will first find the prime factorization of 53605 and 53613. After we will calculate the factors of 53605 and 53613 and find the biggest common factor number .

Step-1: Prime Factorization of 53605

Prime factors of 53605 are 5, 71, 151. Prime factorization of 53605 in exponential form is:

53605 = 5¹ × 71¹ × 151¹

Step-2: Prime Factorization of 53613

Prime factors of 53613 are 3, 7, 23, 37. Prime factorization of 53613 in exponential form is:

53613 = 3² × 7¹ × 23¹ × 37¹

Step-3: Factors of 53605

List of positive integer factors of 53605 that divides 53605 without a remainder.

1, 5, 71, 151, 355, 755, 10721

Step-4: Factors of 53613

List of positive integer factors of 53613 that divides 53605 without a remainder.

1, 3, 7, 9, 21, 23, 37, 63, 69, 111, 161, 207, 259, 333, 483, 777, 851, 1449, 2331, 2553, 5957, 7659, 17871

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53605 and 53613. The biggest common factor number is the GCF number.
So the greatest common factor 53605 and 53613 is 1.

Also check out the Least Common Multiple of 53605 and 53613