What is the Greatest Common Factor of 73136 and 73150?

Greatest common factor (GCF) of 73136 and 73150 is 14.

GCF(73136,73150) = 14

We will now calculate the prime factors of 73136 and 73150, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73136 and 73150.

How to find the GCF of 73136 and 73150?

We will first find the prime factorization of 73136 and 73150. After we will calculate the factors of 73136 and 73150 and find the biggest common factor number .

Step-1: Prime Factorization of 73136

Prime factors of 73136 are 2, 7, 653. Prime factorization of 73136 in exponential form is:

73136 = 2⁴ × 7¹ × 653¹

Step-2: Prime Factorization of 73150

Prime factors of 73150 are 2, 5, 7, 11, 19. Prime factorization of 73150 in exponential form is:

73150 = 2¹ × 5² × 7¹ × 11¹ × 19¹

Step-3: Factors of 73136

List of positive integer factors of 73136 that divides 73136 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 653, 1306, 2612, 4571, 5224, 9142, 10448, 18284, 36568

Step-4: Factors of 73150

List of positive integer factors of 73150 that divides 73136 without a remainder.

1, 2, 5, 7, 10, 11, 14, 19, 22, 25, 35, 38, 50, 55, 70, 77, 95, 110, 133, 154, 175, 190, 209, 266, 275, 350, 385, 418, 475, 550, 665, 770, 950, 1045, 1330, 1463, 1925, 2090, 2926, 3325, 3850, 5225, 6650, 7315, 10450, 14630, 36575

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73136 and 73150. The biggest common factor number is the GCF number.
So the greatest common factor 73136 and 73150 is 14.

Also check out the Least Common Multiple of 73136 and 73150