What is the Greatest Common Factor of 52689 and 52700?

Greatest common factor (GCF) of 52689 and 52700 is 1.

GCF(52689,52700) = 1

We will now calculate the prime factors of 52689 and 52700, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52689 and 52700.

How to find the GCF of 52689 and 52700?

We will first find the prime factorization of 52689 and 52700. After we will calculate the factors of 52689 and 52700 and find the biggest common factor number .

Step-1: Prime Factorization of 52689

Prime factors of 52689 are 3, 7, 13, 193. Prime factorization of 52689 in exponential form is:

52689 = 3¹ × 7¹ × 13¹ × 193¹

Step-2: Prime Factorization of 52700

Prime factors of 52700 are 2, 5, 17, 31. Prime factorization of 52700 in exponential form is:

52700 = 2² × 5² × 17¹ × 31¹

Step-3: Factors of 52689

List of positive integer factors of 52689 that divides 52689 without a remainder.

1, 3, 7, 13, 21, 39, 91, 193, 273, 579, 1351, 2509, 4053, 7527, 17563

Step-4: Factors of 52700

List of positive integer factors of 52700 that divides 52689 without a remainder.

1, 2, 4, 5, 10, 17, 20, 25, 31, 34, 50, 62, 68, 85, 100, 124, 155, 170, 310, 340, 425, 527, 620, 775, 850, 1054, 1550, 1700, 2108, 2635, 3100, 5270, 10540, 13175, 26350

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52689 and 52700. The biggest common factor number is the GCF number.
So the greatest common factor 52689 and 52700 is 1.

Also check out the Least Common Multiple of 52689 and 52700