What is the Greatest Common Factor of 51972 and 51981?

Greatest common factor (GCF) of 51972 and 51981 is 3.

GCF(51972,51981) = 3

We will now calculate the prime factors of 51972 and 51981, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51972 and 51981.

How to find the GCF of 51972 and 51981?

We will first find the prime factorization of 51972 and 51981. After we will calculate the factors of 51972 and 51981 and find the biggest common factor number .

Step-1: Prime Factorization of 51972

Prime factors of 51972 are 2, 3, 61, 71. Prime factorization of 51972 in exponential form is:

51972 = 2² × 3¹ × 61¹ × 71¹

Step-2: Prime Factorization of 51981

Prime factors of 51981 are 3, 17327. Prime factorization of 51981 in exponential form is:

51981 = 3¹ × 17327¹

Step-3: Factors of 51972

List of positive integer factors of 51972 that divides 51972 without a remainder.

1, 2, 3, 4, 6, 12, 61, 71, 122, 142, 183, 213, 244, 284, 366, 426, 732, 852, 4331, 8662, 12993, 17324, 25986

Step-4: Factors of 51981

List of positive integer factors of 51981 that divides 51972 without a remainder.

1, 3, 17327

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51972 and 51981. The biggest common factor number is the GCF number.
So the greatest common factor 51972 and 51981 is 3.

Also check out the Least Common Multiple of 51972 and 51981