What is the Greatest Common Factor of 80734 and 80746?

Greatest common factor (GCF) of 80734 and 80746 is 2.

GCF(80734,80746) = 2

We will now calculate the prime factors of 80734 and 80746, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80734 and 80746.

How to find the GCF of 80734 and 80746?

We will first find the prime factorization of 80734 and 80746. After we will calculate the factors of 80734 and 80746 and find the biggest common factor number .

Step-1: Prime Factorization of 80734

Prime factors of 80734 are 2, 37, 1091. Prime factorization of 80734 in exponential form is:

80734 = 2¹ × 37¹ × 1091¹

Step-2: Prime Factorization of 80746

Prime factors of 80746 are 2, 47, 859. Prime factorization of 80746 in exponential form is:

80746 = 2¹ × 47¹ × 859¹

Step-3: Factors of 80734

List of positive integer factors of 80734 that divides 80734 without a remainder.

1, 2, 37, 74, 1091, 2182, 40367

Step-4: Factors of 80746

List of positive integer factors of 80746 that divides 80734 without a remainder.

1, 2, 47, 94, 859, 1718, 40373

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80734 and 80746. The biggest common factor number is the GCF number.
So the greatest common factor 80734 and 80746 is 2.

Also check out the Least Common Multiple of 80734 and 80746