What is the Greatest Common Factor of 52136 and 52143?

Greatest common factor (GCF) of 52136 and 52143 is 7.

GCF(52136,52143) = 7

We will now calculate the prime factors of 52136 and 52143, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52136 and 52143.

How to find the GCF of 52136 and 52143?

We will first find the prime factorization of 52136 and 52143. After we will calculate the factors of 52136 and 52143 and find the biggest common factor number .

Step-1: Prime Factorization of 52136

Prime factors of 52136 are 2, 7, 19. Prime factorization of 52136 in exponential form is:

52136 = 2³ × 7³ × 19¹

Step-2: Prime Factorization of 52143

Prime factors of 52143 are 3, 7, 13, 191. Prime factorization of 52143 in exponential form is:

52143 = 3¹ × 7¹ × 13¹ × 191¹

Step-3: Factors of 52136

List of positive integer factors of 52136 that divides 52136 without a remainder.

1, 2, 4, 7, 8, 14, 19, 28, 38, 49, 56, 76, 98, 133, 152, 196, 266, 343, 392, 532, 686, 931, 1064, 1372, 1862, 2744, 3724, 6517, 7448, 13034, 26068

Step-4: Factors of 52143

List of positive integer factors of 52143 that divides 52136 without a remainder.

1, 3, 7, 13, 21, 39, 91, 191, 273, 573, 1337, 2483, 4011, 7449, 17381

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52136 and 52143. The biggest common factor number is the GCF number.
So the greatest common factor 52136 and 52143 is 7.

Also check out the Least Common Multiple of 52136 and 52143