What is the Greatest Common Factor of 29952 and 29963?

Greatest common factor (GCF) of 29952 and 29963 is 1.

GCF(29952,29963) = 1

We will now calculate the prime factors of 29952 and 29963, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29952 and 29963.

How to find the GCF of 29952 and 29963?

We will first find the prime factorization of 29952 and 29963. After we will calculate the factors of 29952 and 29963 and find the biggest common factor number .

Step-1: Prime Factorization of 29952

Prime factors of 29952 are 2, 3, 13. Prime factorization of 29952 in exponential form is:

29952 = 2⁸ × 3² × 13¹

Step-2: Prime Factorization of 29963

Prime factors of 29963 are 19, 83. Prime factorization of 29963 in exponential form is:

29963 = 19² × 83¹

Step-3: Factors of 29952

List of positive integer factors of 29952 that divides 29952 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 24, 26, 32, 36, 39, 48, 52, 64, 72, 78, 96, 104, 117, 128, 144, 156, 192, 208, 234, 256, 288, 312, 384, 416, 468, 576, 624, 768, 832, 936, 1152, 1248, 1664, 1872, 2304, 2496, 3328, 3744, 4992, 7488, 9984, 14976

Step-4: Factors of 29963

List of positive integer factors of 29963 that divides 29952 without a remainder.

1, 19, 83, 361, 1577

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29952 and 29963. The biggest common factor number is the GCF number.
So the greatest common factor 29952 and 29963 is 1.

Also check out the Least Common Multiple of 29952 and 29963