What is the Greatest Common Factor of 5695 and 5700?

Greatest common factor (GCF) of 5695 and 5700 is 5.

GCF(5695,5700) = 5

We will now calculate the prime factors of 5695 and 5700, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5695 and 5700.

How to find the GCF of 5695 and 5700?

We will first find the prime factorization of 5695 and 5700. After we will calculate the factors of 5695 and 5700 and find the biggest common factor number .

Step-1: Prime Factorization of 5695

Prime factors of 5695 are 5, 17, 67. Prime factorization of 5695 in exponential form is:

5695 = 5¹ × 17¹ × 67¹

Step-2: Prime Factorization of 5700

Prime factors of 5700 are 2, 3, 5, 19. Prime factorization of 5700 in exponential form is:

5700 = 2² × 3¹ × 5² × 19¹

Step-3: Factors of 5695

List of positive integer factors of 5695 that divides 5695 without a remainder.

1, 5, 17, 67, 85, 335, 1139

Step-4: Factors of 5700

List of positive integer factors of 5700 that divides 5695 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 19, 20, 25, 30, 38, 50, 57, 60, 75, 76, 95, 100, 114, 150, 190, 228, 285, 300, 380, 475, 570, 950, 1140, 1425, 1900, 2850

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5695 and 5700. The biggest common factor number is the GCF number.
So the greatest common factor 5695 and 5700 is 5.

Also check out the Least Common Multiple of 5695 and 5700