What is the Greatest Common Factor of 73140 and 73154?

Greatest common factor (GCF) of 73140 and 73154 is 2.

GCF(73140,73154) = 2

We will now calculate the prime factors of 73140 and 73154, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73140 and 73154.

How to find the GCF of 73140 and 73154?

We will first find the prime factorization of 73140 and 73154. After we will calculate the factors of 73140 and 73154 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 73154

Prime factors of 73154 are 2, 79, 463. Prime factorization of 73154 in exponential form is:

73154 = 2¹ × 79¹ × 463¹

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 73154

List of positive integer factors of 73154 that divides 73140 without a remainder.

1, 2, 79, 158, 463, 926, 36577

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73140 and 73154. The biggest common factor number is the GCF number.
So the greatest common factor 73140 and 73154 is 2.

Also check out the Least Common Multiple of 73140 and 73154