What is the Greatest Common Factor of 53700 and 53715?

Greatest common factor (GCF) of 53700 and 53715 is 15.

GCF(53700,53715) = 15

We will now calculate the prime factors of 53700 and 53715, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53700 and 53715.

How to find the GCF of 53700 and 53715?

We will first find the prime factorization of 53700 and 53715. After we will calculate the factors of 53700 and 53715 and find the biggest common factor number .

Step-1: Prime Factorization of 53700

Prime factors of 53700 are 2, 3, 5, 179. Prime factorization of 53700 in exponential form is:

53700 = 2² × 3¹ × 5² × 179¹

Step-2: Prime Factorization of 53715

Prime factors of 53715 are 3, 5, 3581. Prime factorization of 53715 in exponential form is:

53715 = 3¹ × 5¹ × 3581¹

Step-3: Factors of 53700

List of positive integer factors of 53700 that divides 53700 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 179, 300, 358, 537, 716, 895, 1074, 1790, 2148, 2685, 3580, 4475, 5370, 8950, 10740, 13425, 17900, 26850

Step-4: Factors of 53715

List of positive integer factors of 53715 that divides 53700 without a remainder.

1, 3, 5, 15, 3581, 10743, 17905

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53700 and 53715. The biggest common factor number is the GCF number.
So the greatest common factor 53700 and 53715 is 15.

Also check out the Least Common Multiple of 53700 and 53715