What is the Greatest Common Factor of 51972 and 51988?

Greatest common factor (GCF) of 51972 and 51988 is 4.

GCF(51972,51988) = 4

We will now calculate the prime factors of 51972 and 51988, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51972 and 51988.

How to find the GCF of 51972 and 51988?

We will first find the prime factorization of 51972 and 51988. After we will calculate the factors of 51972 and 51988 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 51988

Prime factors of 51988 are 2, 41, 317. Prime factorization of 51988 in exponential form is:

51988 = 2² × 41¹ × 317¹

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 51988

List of positive integer factors of 51988 that divides 51972 without a remainder.

1, 2, 4, 41, 82, 164, 317, 634, 1268, 12997, 25994

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51972 and 51988. The biggest common factor number is the GCF number.
So the greatest common factor 51972 and 51988 is 4.

Also check out the Least Common Multiple of 51972 and 51988