What is the Greatest Common Factor of 52136 and 52150?

Greatest common factor (GCF) of 52136 and 52150 is 14.

GCF(52136,52150) = 14

We will now calculate the prime factors of 52136 and 52150, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52136 and 52150.

How to find the GCF of 52136 and 52150?

We will first find the prime factorization of 52136 and 52150. After we will calculate the factors of 52136 and 52150 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 52150

Prime factors of 52150 are 2, 5, 7, 149. Prime factorization of 52150 in exponential form is:

52150 = 2¹ × 5² × 7¹ × 149¹

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 52150

List of positive integer factors of 52150 that divides 52136 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 149, 175, 298, 350, 745, 1043, 1490, 2086, 3725, 5215, 7450, 10430, 26075

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52136 and 52150. The biggest common factor number is the GCF number.
So the greatest common factor 52136 and 52150 is 14.

Also check out the Least Common Multiple of 52136 and 52150