What is the Greatest Common Factor of 97912 and 97922?

Greatest common factor (GCF) of 97912 and 97922 is 2.

GCF(97912,97922) = 2

We will now calculate the prime factors of 97912 and 97922, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97912 and 97922.

How to find the GCF of 97912 and 97922?

We will first find the prime factorization of 97912 and 97922. After we will calculate the factors of 97912 and 97922 and find the biggest common factor number .

Step-1: Prime Factorization of 97912

Prime factors of 97912 are 2, 12239. Prime factorization of 97912 in exponential form is:

97912 = 2³ × 12239¹

Step-2: Prime Factorization of 97922

Prime factors of 97922 are 2, 11, 4451. Prime factorization of 97922 in exponential form is:

97922 = 2¹ × 11¹ × 4451¹

Step-3: Factors of 97912

List of positive integer factors of 97912 that divides 97912 without a remainder.

1, 2, 4, 8, 12239, 24478, 48956

Step-4: Factors of 97922

List of positive integer factors of 97922 that divides 97912 without a remainder.

1, 2, 11, 22, 4451, 8902, 48961

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97912 and 97922. The biggest common factor number is the GCF number.
So the greatest common factor 97912 and 97922 is 2.

Also check out the Least Common Multiple of 97912 and 97922