What is the Greatest Common Factor of 51972 and 51992?

Greatest common factor (GCF) of 51972 and 51992 is 4.

GCF(51972,51992) = 4

We will now calculate the prime factors of 51972 and 51992, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51972 and 51992.

How to find the GCF of 51972 and 51992?

We will first find the prime factorization of 51972 and 51992. After we will calculate the factors of 51972 and 51992 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 51992

Prime factors of 51992 are 2, 67, 97. Prime factorization of 51992 in exponential form is:

51992 = 2³ × 67¹ × 97¹

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 51992

List of positive integer factors of 51992 that divides 51972 without a remainder.

1, 2, 4, 8, 67, 97, 134, 194, 268, 388, 536, 776, 6499, 12998, 25996

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51972 and 51992. The biggest common factor number is the GCF number.
So the greatest common factor 51972 and 51992 is 4.

Also check out the Least Common Multiple of 51972 and 51992