What is the Greatest Common Factor of 5952 and 5963?

Greatest common factor (GCF) of 5952 and 5963 is 1.

GCF(5952,5963) = 1

We will now calculate the prime factors of 5952 and 5963, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5952 and 5963.

How to find the GCF of 5952 and 5963?

We will first find the prime factorization of 5952 and 5963. After we will calculate the factors of 5952 and 5963 and find the biggest common factor number .

Step-1: Prime Factorization of 5952

Prime factors of 5952 are 2, 3, 31. Prime factorization of 5952 in exponential form is:

5952 = 2⁶ × 3¹ × 31¹

Step-2: Prime Factorization of 5963

Prime factors of 5963 are 67, 89. Prime factorization of 5963 in exponential form is:

5963 = 67¹ × 89¹

Step-3: Factors of 5952

List of positive integer factors of 5952 that divides 5952 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 31, 32, 48, 62, 64, 93, 96, 124, 186, 192, 248, 372, 496, 744, 992, 1488, 1984, 2976

Step-4: Factors of 5963

List of positive integer factors of 5963 that divides 5952 without a remainder.

1, 67, 89

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5952 and 5963. The biggest common factor number is the GCF number.
So the greatest common factor 5952 and 5963 is 1.

Also check out the Least Common Multiple of 5952 and 5963