What is the Greatest Common Factor of 65968 and 65983?

Greatest common factor (GCF) of 65968 and 65983 is 1.

GCF(65968,65983) = 1

We will now calculate the prime factors of 65968 and 65983, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65968 and 65983.

How to find the GCF of 65968 and 65983?

We will first find the prime factorization of 65968 and 65983. After we will calculate the factors of 65968 and 65983 and find the biggest common factor number .

Step-1: Prime Factorization of 65968

Prime factors of 65968 are 2, 7, 19, 31. Prime factorization of 65968 in exponential form is:

65968 = 2⁴ × 7¹ × 19¹ × 31¹

Step-2: Prime Factorization of 65983

Prime factors of 65983 are 65983. Prime factorization of 65983 in exponential form is:

65983 = 65983¹

Step-3: Factors of 65968

List of positive integer factors of 65968 that divides 65968 without a remainder.

1, 2, 4, 7, 8, 14, 16, 19, 28, 31, 38, 56, 62, 76, 112, 124, 133, 152, 217, 248, 266, 304, 434, 496, 532, 589, 868, 1064, 1178, 1736, 2128, 2356, 3472, 4123, 4712, 8246, 9424, 16492, 32984

Step-4: Factors of 65983

List of positive integer factors of 65983 that divides 65968 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65968 and 65983. The biggest common factor number is the GCF number.
So the greatest common factor 65968 and 65983 is 1.

Also check out the Least Common Multiple of 65968 and 65983