What is the Greatest Common Factor of 65870 and 65890?

Greatest common factor (GCF) of 65870 and 65890 is 10.

GCF(65870,65890) = 10

We will now calculate the prime factors of 65870 and 65890, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65870 and 65890.

How to find the GCF of 65870 and 65890?

We will first find the prime factorization of 65870 and 65890. After we will calculate the factors of 65870 and 65890 and find the biggest common factor number .

Step-1: Prime Factorization of 65870

Prime factors of 65870 are 2, 5, 7, 941. Prime factorization of 65870 in exponential form is:

65870 = 2¹ × 5¹ × 7¹ × 941¹

Step-2: 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-3: Factors of 65870

List of positive integer factors of 65870 that divides 65870 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 941, 1882, 4705, 6587, 9410, 13174, 32935

Step-4: Factors of 65890

List of positive integer factors of 65890 that divides 65870 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65870 and 65890. The biggest common factor number is the GCF number.
So the greatest common factor 65870 and 65890 is 10.

Also check out the Least Common Multiple of 65870 and 65890