What is the Greatest Common Factor of 65970 and 65979?

Greatest common factor (GCF) of 65970 and 65979 is 9.

GCF(65970,65979) = 9

We will now calculate the prime factors of 65970 and 65979, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65970 and 65979.

How to find the GCF of 65970 and 65979?

We will first find the prime factorization of 65970 and 65979. After we will calculate the factors of 65970 and 65979 and find the biggest common factor number .

Step-1: Prime Factorization of 65970

Prime factors of 65970 are 2, 3, 5, 733. Prime factorization of 65970 in exponential form is:

65970 = 2¹ × 3² × 5¹ × 733¹

Step-2: Prime Factorization of 65979

Prime factors of 65979 are 3, 7331. Prime factorization of 65979 in exponential form is:

65979 = 3² × 7331¹

Step-3: Factors of 65970

List of positive integer factors of 65970 that divides 65970 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 733, 1466, 2199, 3665, 4398, 6597, 7330, 10995, 13194, 21990, 32985

Step-4: Factors of 65979

List of positive integer factors of 65979 that divides 65970 without a remainder.

1, 3, 9, 7331, 21993

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65970 and 65979. The biggest common factor number is the GCF number.
So the greatest common factor 65970 and 65979 is 9.

Also check out the Least Common Multiple of 65970 and 65979