What is the Greatest Common Factor of 96902 and 96922?

Greatest common factor (GCF) of 96902 and 96922 is 2.

GCF(96902,96922) = 2

We will now calculate the prime factors of 96902 and 96922, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96902 and 96922.

How to find the GCF of 96902 and 96922?

We will first find the prime factorization of 96902 and 96922. After we will calculate the factors of 96902 and 96922 and find the biggest common factor number .

Step-1: Prime Factorization of 96902

Prime factors of 96902 are 2, 13, 3727. Prime factorization of 96902 in exponential form is:

96902 = 2¹ × 13¹ × 3727¹

Step-2: 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-3: Factors of 96902

List of positive integer factors of 96902 that divides 96902 without a remainder.

1, 2, 13, 26, 3727, 7454, 48451

Step-4: Factors of 96922

List of positive integer factors of 96922 that divides 96902 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96902 and 96922. The biggest common factor number is the GCF number.
So the greatest common factor 96902 and 96922 is 2.

Also check out the Least Common Multiple of 96902 and 96922