What is the Greatest Common Factor of 73140 and 73159?

Greatest common factor (GCF) of 73140 and 73159 is 1.

GCF(73140,73159) = 1

We will now calculate the prime factors of 73140 and 73159, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73140 and 73159.

How to find the GCF of 73140 and 73159?

We will first find the prime factorization of 73140 and 73159. After we will calculate the factors of 73140 and 73159 and find the biggest common factor number .

Step-1: Prime Factorization of 73140

Prime factors of 73140 are 2, 3, 5, 23, 53. Prime factorization of 73140 in exponential form is:

73140 = 2² × 3¹ × 5¹ × 23¹ × 53¹

Step-2: Prime Factorization of 73159

Prime factors of 73159 are 149, 491. Prime factorization of 73159 in exponential form is:

73159 = 149¹ × 491¹

Step-3: Factors of 73140

List of positive integer factors of 73140 that divides 73140 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 23, 30, 46, 53, 60, 69, 92, 106, 115, 138, 159, 212, 230, 265, 276, 318, 345, 460, 530, 636, 690, 795, 1060, 1219, 1380, 1590, 2438, 3180, 3657, 4876, 6095, 7314, 12190, 14628, 18285, 24380, 36570

Step-4: Factors of 73159

List of positive integer factors of 73159 that divides 73140 without a remainder.

1, 149, 491

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73140 and 73159. The biggest common factor number is the GCF number.
So the greatest common factor 73140 and 73159 is 1.

Also check out the Least Common Multiple of 73140 and 73159