What is the Greatest Common Factor of 65982 and 65996?

Greatest common factor (GCF) of 65982 and 65996 is 14.

GCF(65982,65996) = 14

We will now calculate the prime factors of 65982 and 65996, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65982 and 65996.

How to find the GCF of 65982 and 65996?

We will first find the prime factorization of 65982 and 65996. After we will calculate the factors of 65982 and 65996 and find the biggest common factor number .

Step-1: Prime Factorization of 65982

Prime factors of 65982 are 2, 3, 7, 1571. Prime factorization of 65982 in exponential form is:

65982 = 2¹ × 3¹ × 7¹ × 1571¹

Step-2: Prime Factorization of 65996

Prime factors of 65996 are 2, 7, 2357. Prime factorization of 65996 in exponential form is:

65996 = 2² × 7¹ × 2357¹

Step-3: Factors of 65982

List of positive integer factors of 65982 that divides 65982 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1571, 3142, 4713, 9426, 10997, 21994, 32991

Step-4: Factors of 65996

List of positive integer factors of 65996 that divides 65982 without a remainder.

1, 2, 4, 7, 14, 28, 2357, 4714, 9428, 16499, 32998

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65982 and 65996. The biggest common factor number is the GCF number.
So the greatest common factor 65982 and 65996 is 14.

Also check out the Least Common Multiple of 65982 and 65996