What is the Greatest Common Factor of 96722 and 96740?

Greatest common factor (GCF) of 96722 and 96740 is 2.

GCF(96722,96740) = 2

We will now calculate the prime factors of 96722 and 96740, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96722 and 96740.

How to find the GCF of 96722 and 96740?

We will first find the prime factorization of 96722 and 96740. After we will calculate the factors of 96722 and 96740 and find the biggest common factor number .

Step-1: Prime Factorization of 96722

Prime factors of 96722 are 2, 137, 353. Prime factorization of 96722 in exponential form is:

96722 = 2¹ × 137¹ × 353¹

Step-2: Prime Factorization of 96740

Prime factors of 96740 are 2, 5, 7, 691. Prime factorization of 96740 in exponential form is:

96740 = 2² × 5¹ × 7¹ × 691¹

Step-3: Factors of 96722

List of positive integer factors of 96722 that divides 96722 without a remainder.

1, 2, 137, 274, 353, 706, 48361

Step-4: Factors of 96740

List of positive integer factors of 96740 that divides 96722 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 691, 1382, 2764, 3455, 4837, 6910, 9674, 13820, 19348, 24185, 48370

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96722 and 96740. The biggest common factor number is the GCF number.
So the greatest common factor 96722 and 96740 is 2.

Also check out the Least Common Multiple of 96722 and 96740