What is the Greatest Common Factor of 96922 and 96937?

Greatest common factor (GCF) of 96922 and 96937 is 1.

GCF(96922,96937) = 1

We will now calculate the prime factors of 96922 and 96937, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96922 and 96937.

How to find the GCF of 96922 and 96937?

We will first find the prime factorization of 96922 and 96937. After we will calculate the factors of 96922 and 96937 and find the biggest common factor number .

Step-1: Prime Factorization of 96922

Prime factors of 96922 are 2, 7, 23, 43. Prime factorization of 96922 in exponential form is:

96922 = 2¹ × 7² × 23¹ × 43¹

Step-2: Prime Factorization of 96937

Prime factors of 96937 are 31, 53, 59. Prime factorization of 96937 in exponential form is:

96937 = 31¹ × 53¹ × 59¹

Step-3: Factors of 96922

List of positive integer factors of 96922 that divides 96922 without a remainder.

1, 2, 7, 14, 23, 43, 46, 49, 86, 98, 161, 301, 322, 602, 989, 1127, 1978, 2107, 2254, 4214, 6923, 13846, 48461

Step-4: Factors of 96937

List of positive integer factors of 96937 that divides 96922 without a remainder.

1, 31, 53, 59, 1643, 1829, 3127

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96922 and 96937. The biggest common factor number is the GCF number.
So the greatest common factor 96922 and 96937 is 1.

Also check out the Least Common Multiple of 96922 and 96937