What is the Greatest Common Factor of 97936 and 97956?

Greatest common factor (GCF) of 97936 and 97956 is 4.

GCF(97936,97956) = 4

We will now calculate the prime factors of 97936 and 97956, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97936 and 97956.

How to find the GCF of 97936 and 97956?

We will first find the prime factorization of 97936 and 97956. After we will calculate the factors of 97936 and 97956 and find the biggest common factor number .

Step-1: Prime Factorization of 97936

Prime factors of 97936 are 2, 6121. Prime factorization of 97936 in exponential form is:

97936 = 2⁴ × 6121¹

Step-2: Prime Factorization of 97956

Prime factors of 97956 are 2, 3, 907. Prime factorization of 97956 in exponential form is:

97956 = 2² × 3³ × 907¹

Step-3: Factors of 97936

List of positive integer factors of 97936 that divides 97936 without a remainder.

1, 2, 4, 8, 16, 6121, 12242, 24484, 48968

Step-4: Factors of 97956

List of positive integer factors of 97956 that divides 97936 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 907, 1814, 2721, 3628, 5442, 8163, 10884, 16326, 24489, 32652, 48978

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97936 and 97956. The biggest common factor number is the GCF number.
So the greatest common factor 97936 and 97956 is 4.

Also check out the Least Common Multiple of 97936 and 97956