What is the Greatest Common Factor of 73162 and 73166?

Greatest common factor (GCF) of 73162 and 73166 is 2.

GCF(73162,73166) = 2

We will now calculate the prime factors of 73162 and 73166, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73162 and 73166.

How to find the GCF of 73162 and 73166?

We will first find the prime factorization of 73162 and 73166. After we will calculate the factors of 73162 and 73166 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 73166

Prime factors of 73166 are 2, 36583. Prime factorization of 73166 in exponential form is:

73166 = 2¹ × 36583¹

Step-3: Factors of 73162

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

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

Step-4: Factors of 73166

List of positive integer factors of 73166 that divides 73162 without a remainder.

1, 2, 36583

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73162 and 73166. The biggest common factor number is the GCF number.
So the greatest common factor 73162 and 73166 is 2.

Also check out the Least Common Multiple of 73162 and 73166