What is the Greatest Common Factor of 51072 and 51092?

Greatest common factor (GCF) of 51072 and 51092 is 4.

GCF(51072,51092) = 4

We will now calculate the prime factors of 51072 and 51092, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51072 and 51092.

How to find the GCF of 51072 and 51092?

We will first find the prime factorization of 51072 and 51092. After we will calculate the factors of 51072 and 51092 and find the biggest common factor number .

Step-1: Prime Factorization of 51072

Prime factors of 51072 are 2, 3, 7, 19. Prime factorization of 51072 in exponential form is:

51072 = 2⁷ × 3¹ × 7¹ × 19¹

Step-2: Prime Factorization of 51092

Prime factors of 51092 are 2, 53, 241. Prime factorization of 51092 in exponential form is:

51092 = 2² × 53¹ × 241¹

Step-3: Factors of 51072

List of positive integer factors of 51072 that divides 51072 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 19, 21, 24, 28, 32, 38, 42, 48, 56, 57, 64, 76, 84, 96, 112, 114, 128, 133, 152, 168, 192, 224, 228, 266, 304, 336, 384, 399, 448, 456, 532, 608, 672, 798, 896, 912, 1064, 1216, 1344, 1596, 1824, 2128, 2432, 2688, 3192, 3648, 4256, 6384, 7296, 8512, 12768, 17024, 25536

Step-4: Factors of 51092

List of positive integer factors of 51092 that divides 51072 without a remainder.

1, 2, 4, 53, 106, 212, 241, 482, 964, 12773, 25546

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51072 and 51092. The biggest common factor number is the GCF number.
So the greatest common factor 51072 and 51092 is 4.

Also check out the Least Common Multiple of 51072 and 51092