What is the Greatest Common Factor of 65800 and 65807?

Greatest common factor (GCF) of 65800 and 65807 is 7.

GCF(65800,65807) = 7

We will now calculate the prime factors of 65800 and 65807, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65800 and 65807.

How to find the GCF of 65800 and 65807?

We will first find the prime factorization of 65800 and 65807. After we will calculate the factors of 65800 and 65807 and find the biggest common factor number .

Step-1: Prime Factorization of 65800

Prime factors of 65800 are 2, 5, 7, 47. Prime factorization of 65800 in exponential form is:

65800 = 2³ × 5² × 7¹ × 47¹

Step-2: Prime Factorization of 65807

Prime factors of 65807 are 7, 17, 79. Prime factorization of 65807 in exponential form is:

65807 = 7² × 17¹ × 79¹

Step-3: Factors of 65800

List of positive integer factors of 65800 that divides 65800 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 25, 28, 35, 40, 47, 50, 56, 70, 94, 100, 140, 175, 188, 200, 235, 280, 329, 350, 376, 470, 658, 700, 940, 1175, 1316, 1400, 1645, 1880, 2350, 2632, 3290, 4700, 6580, 8225, 9400, 13160, 16450, 32900

Step-4: Factors of 65807

List of positive integer factors of 65807 that divides 65800 without a remainder.

1, 7, 17, 49, 79, 119, 553, 833, 1343, 3871, 9401

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65800 and 65807. The biggest common factor number is the GCF number.
So the greatest common factor 65800 and 65807 is 7.

Also check out the Least Common Multiple of 65800 and 65807