What is the Greatest Common Factor of 95810 and 95821?

Greatest common factor (GCF) of 95810 and 95821 is 11.

GCF(95810,95821) = 11

We will now calculate the prime factors of 95810 and 95821, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95810 and 95821.

How to find the GCF of 95810 and 95821?

We will first find the prime factorization of 95810 and 95821. After we will calculate the factors of 95810 and 95821 and find the biggest common factor number .

Step-1: Prime Factorization of 95810

Prime factors of 95810 are 2, 5, 11, 13, 67. Prime factorization of 95810 in exponential form is:

95810 = 2¹ × 5¹ × 11¹ × 13¹ × 67¹

Step-2: Prime Factorization of 95821

Prime factors of 95821 are 11, 31, 281. Prime factorization of 95821 in exponential form is:

95821 = 11¹ × 31¹ × 281¹

Step-3: Factors of 95810

List of positive integer factors of 95810 that divides 95810 without a remainder.

1, 2, 5, 10, 11, 13, 22, 26, 55, 65, 67, 110, 130, 134, 143, 286, 335, 670, 715, 737, 871, 1430, 1474, 1742, 3685, 4355, 7370, 8710, 9581, 19162, 47905

Step-4: Factors of 95821

List of positive integer factors of 95821 that divides 95810 without a remainder.

1, 11, 31, 281, 341, 3091, 8711

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95810 and 95821. The biggest common factor number is the GCF number.
So the greatest common factor 95810 and 95821 is 11.

Also check out the Least Common Multiple of 95810 and 95821