What is the Greatest Common Factor of 73158 and 73162?

Greatest common factor (GCF) of 73158 and 73162 is 2.

GCF(73158,73162) = 2

We will now calculate the prime factors of 73158 and 73162, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73158 and 73162.

How to find the GCF of 73158 and 73162?

We will first find the prime factorization of 73158 and 73162. After we will calculate the factors of 73158 and 73162 and find the biggest common factor number .

Step-1: Prime Factorization of 73158

Prime factors of 73158 are 2, 3, 89, 137. Prime factorization of 73158 in exponential form is:

73158 = 2¹ × 3¹ × 89¹ × 137¹

Step-2: Prime Factorization of 73162

Prime factors of 73162 are 2, 157, 233. Prime factorization of 73162 in exponential form is:

73162 = 2¹ × 157¹ × 233¹

Step-3: Factors of 73158

List of positive integer factors of 73158 that divides 73158 without a remainder.

1, 2, 3, 6, 89, 137, 178, 267, 274, 411, 534, 822, 12193, 24386, 36579

Step-4: Factors of 73162

List of positive integer factors of 73162 that divides 73158 without a remainder.

1, 2, 157, 233, 314, 466, 36581

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73158 and 73162. The biggest common factor number is the GCF number.
So the greatest common factor 73158 and 73162 is 2.

Also check out the Least Common Multiple of 73158 and 73162