What is the Greatest Common Factor of 53680 and 53700?

Greatest common factor (GCF) of 53680 and 53700 is 20.

GCF(53680,53700) = 20

We will now calculate the prime factors of 53680 and 53700, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53680 and 53700.

How to find the GCF of 53680 and 53700?

We will first find the prime factorization of 53680 and 53700. After we will calculate the factors of 53680 and 53700 and find the biggest common factor number .

Step-1: Prime Factorization of 53680

Prime factors of 53680 are 2, 5, 11, 61. Prime factorization of 53680 in exponential form is:

53680 = 2⁴ × 5¹ × 11¹ × 61¹

Step-2: 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-3: Factors of 53680

List of positive integer factors of 53680 that divides 53680 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 61, 80, 88, 110, 122, 176, 220, 244, 305, 440, 488, 610, 671, 880, 976, 1220, 1342, 2440, 2684, 3355, 4880, 5368, 6710, 10736, 13420, 26840

Step-4: Factors of 53700

List of positive integer factors of 53700 that divides 53680 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53680 and 53700. The biggest common factor number is the GCF number.
So the greatest common factor 53680 and 53700 is 20.

Also check out the Least Common Multiple of 53680 and 53700