What is the Greatest Common Factor of 73150 and 73167?

Greatest common factor (GCF) of 73150 and 73167 is 1.

GCF(73150,73167) = 1

We will now calculate the prime factors of 73150 and 73167, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73150 and 73167.

How to find the GCF of 73150 and 73167?

We will first find the prime factorization of 73150 and 73167. After we will calculate the factors of 73150 and 73167 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 73167

Prime factors of 73167 are 3, 29. Prime factorization of 73167 in exponential form is:

73167 = 3¹ × 29³

Step-3: Factors of 73150

List of positive integer factors of 73150 that divides 73150 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

Step-4: Factors of 73167

List of positive integer factors of 73167 that divides 73150 without a remainder.

1, 3, 29, 87, 841, 2523, 24389

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73150 and 73167. The biggest common factor number is the GCF number.
So the greatest common factor 73150 and 73167 is 1.

Also check out the Least Common Multiple of 73150 and 73167