What is the Greatest Common Factor of 97954 and 97971?

Greatest common factor (GCF) of 97954 and 97971 is 17.

GCF(97954,97971) = 17

We will now calculate the prime factors of 97954 and 97971, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97954 and 97971.

How to find the GCF of 97954 and 97971?

We will first find the prime factorization of 97954 and 97971. After we will calculate the factors of 97954 and 97971 and find the biggest common factor number .

Step-1: Prime Factorization of 97954

Prime factors of 97954 are 2, 17, 43, 67. Prime factorization of 97954 in exponential form is:

97954 = 2¹ × 17¹ × 43¹ × 67¹

Step-2: Prime Factorization of 97971

Prime factors of 97971 are 3, 17, 113. Prime factorization of 97971 in exponential form is:

97971 = 3¹ × 17² × 113¹

Step-3: Factors of 97954

List of positive integer factors of 97954 that divides 97954 without a remainder.

1, 2, 17, 34, 43, 67, 86, 134, 731, 1139, 1462, 2278, 2881, 5762, 48977

Step-4: Factors of 97971

List of positive integer factors of 97971 that divides 97954 without a remainder.

1, 3, 17, 51, 113, 289, 339, 867, 1921, 5763, 32657

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97954 and 97971. The biggest common factor number is the GCF number.
So the greatest common factor 97954 and 97971 is 17.

Also check out the Least Common Multiple of 97954 and 97971