What is the Greatest Common Factor of 95802 and 95809?

Greatest common factor (GCF) of 95802 and 95809 is 7.

GCF(95802,95809) = 7

We will now calculate the prime factors of 95802 and 95809, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95802 and 95809.

How to find the GCF of 95802 and 95809?

We will first find the prime factorization of 95802 and 95809. After we will calculate the factors of 95802 and 95809 and find the biggest common factor number .

Step-1: Prime Factorization of 95802

Prime factors of 95802 are 2, 3, 7, 2281. Prime factorization of 95802 in exponential form is:

95802 = 2¹ × 3¹ × 7¹ × 2281¹

Step-2: Prime Factorization of 95809

Prime factors of 95809 are 7, 13687. Prime factorization of 95809 in exponential form is:

95809 = 7¹ × 13687¹

Step-3: Factors of 95802

List of positive integer factors of 95802 that divides 95802 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 2281, 4562, 6843, 13686, 15967, 31934, 47901

Step-4: Factors of 95809

List of positive integer factors of 95809 that divides 95802 without a remainder.

1, 7, 13687

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95802 and 95809. The biggest common factor number is the GCF number.
So the greatest common factor 95802 and 95809 is 7.

Also check out the Least Common Multiple of 95802 and 95809