What is the Greatest Common Factor of 51052 and 51072?

Greatest common factor (GCF) of 51052 and 51072 is 4.

GCF(51052,51072) = 4

We will now calculate the prime factors of 51052 and 51072, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51052 and 51072.

How to find the GCF of 51052 and 51072?

We will first find the prime factorization of 51052 and 51072. After we will calculate the factors of 51052 and 51072 and find the biggest common factor number .

Step-1: Prime Factorization of 51052

Prime factors of 51052 are 2, 12763. Prime factorization of 51052 in exponential form is:

51052 = 2² × 12763¹

Step-2: 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-3: Factors of 51052

List of positive integer factors of 51052 that divides 51052 without a remainder.

1, 2, 4, 12763, 25526

Step-4: Factors of 51072

List of positive integer factors of 51072 that divides 51052 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51052 and 51072. The biggest common factor number is the GCF number.
So the greatest common factor 51052 and 51072 is 4.

Also check out the Least Common Multiple of 51052 and 51072