What is the Greatest Common Factor of 65952 and 65963?

Greatest common factor (GCF) of 65952 and 65963 is 1.

GCF(65952,65963) = 1

We will now calculate the prime factors of 65952 and 65963, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65952 and 65963.

How to find the GCF of 65952 and 65963?

We will first find the prime factorization of 65952 and 65963. After we will calculate the factors of 65952 and 65963 and find the biggest common factor number .

Step-1: Prime Factorization of 65952

Prime factors of 65952 are 2, 3, 229. Prime factorization of 65952 in exponential form is:

65952 = 2⁵ × 3² × 229¹

Step-2: Prime Factorization of 65963

Prime factors of 65963 are 65963. Prime factorization of 65963 in exponential form is:

65963 = 65963¹

Step-3: Factors of 65952

List of positive integer factors of 65952 that divides 65952 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 229, 288, 458, 687, 916, 1374, 1832, 2061, 2748, 3664, 4122, 5496, 7328, 8244, 10992, 16488, 21984, 32976

Step-4: Factors of 65963

List of positive integer factors of 65963 that divides 65952 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65952 and 65963. The biggest common factor number is the GCF number.
So the greatest common factor 65952 and 65963 is 1.

Also check out the Least Common Multiple of 65952 and 65963