What is the Greatest Common Factor of 65970 and 65976?

Greatest common factor (GCF) of 65970 and 65976 is 6.

GCF(65970,65976) = 6

We will now calculate the prime factors of 65970 and 65976, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65970 and 65976.

How to find the GCF of 65970 and 65976?

We will first find the prime factorization of 65970 and 65976. After we will calculate the factors of 65970 and 65976 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 65976

Prime factors of 65976 are 2, 3, 2749. Prime factorization of 65976 in exponential form is:

65976 = 2³ × 3¹ × 2749¹

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 65976

List of positive integer factors of 65976 that divides 65970 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2749, 5498, 8247, 10996, 16494, 21992, 32988

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65970 and 65976. The biggest common factor number is the GCF number.
So the greatest common factor 65970 and 65976 is 6.

Also check out the Least Common Multiple of 65970 and 65976