What is the Greatest Common Factor of 65890 and 65901?

Greatest common factor (GCF) of 65890 and 65901 is 11.

GCF(65890,65901) = 11

We will now calculate the prime factors of 65890 and 65901, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65890 and 65901.

How to find the GCF of 65890 and 65901?

We will first find the prime factorization of 65890 and 65901. After we will calculate the factors of 65890 and 65901 and find the biggest common factor number .

Step-1: Prime Factorization of 65890

Prime factors of 65890 are 2, 5, 11, 599. Prime factorization of 65890 in exponential form is:

65890 = 2¹ × 5¹ × 11¹ × 599¹

Step-2: Prime Factorization of 65901

Prime factors of 65901 are 3, 11, 1997. Prime factorization of 65901 in exponential form is:

65901 = 3¹ × 11¹ × 1997¹

Step-3: Factors of 65890

List of positive integer factors of 65890 that divides 65890 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 599, 1198, 2995, 5990, 6589, 13178, 32945

Step-4: Factors of 65901

List of positive integer factors of 65901 that divides 65890 without a remainder.

1, 3, 11, 33, 1997, 5991, 21967

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65890 and 65901. The biggest common factor number is the GCF number.
So the greatest common factor 65890 and 65901 is 11.

Also check out the Least Common Multiple of 65890 and 65901