What is the Greatest Common Factor of 97053 and 97068?

Greatest common factor (GCF) of 97053 and 97068 is 3.

GCF(97053,97068) = 3

We will now calculate the prime factors of 97053 and 97068, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97053 and 97068.

How to find the GCF of 97053 and 97068?

We will first find the prime factorization of 97053 and 97068. After we will calculate the factors of 97053 and 97068 and find the biggest common factor number .

Step-1: Prime Factorization of 97053

Prime factors of 97053 are 3, 11, 17, 173. Prime factorization of 97053 in exponential form is:

97053 = 3¹ × 11¹ × 17¹ × 173¹

Step-2: Prime Factorization of 97068

Prime factors of 97068 are 2, 3, 8089. Prime factorization of 97068 in exponential form is:

97068 = 2² × 3¹ × 8089¹

Step-3: Factors of 97053

List of positive integer factors of 97053 that divides 97053 without a remainder.

1, 3, 11, 17, 33, 51, 173, 187, 519, 561, 1903, 2941, 5709, 8823, 32351

Step-4: Factors of 97068

List of positive integer factors of 97068 that divides 97053 without a remainder.

1, 2, 3, 4, 6, 12, 8089, 16178, 24267, 32356, 48534

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97053 and 97068. The biggest common factor number is the GCF number.
So the greatest common factor 97053 and 97068 is 3.

Also check out the Least Common Multiple of 97053 and 97068