What is the Greatest Common Factor of 97036 and 97053?

Greatest common factor (GCF) of 97036 and 97053 is 17.

GCF(97036,97053) = 17

We will now calculate the prime factors of 97036 and 97053, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97036 and 97053.

How to find the GCF of 97036 and 97053?

We will first find the prime factorization of 97036 and 97053. After we will calculate the factors of 97036 and 97053 and find the biggest common factor number .

Step-1: Prime Factorization of 97036

Prime factors of 97036 are 2, 17, 1427. Prime factorization of 97036 in exponential form is:

97036 = 2² × 17¹ × 1427¹

Step-2: 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-3: Factors of 97036

List of positive integer factors of 97036 that divides 97036 without a remainder.

1, 2, 4, 17, 34, 68, 1427, 2854, 5708, 24259, 48518

Step-4: Factors of 97053

List of positive integer factors of 97053 that divides 97036 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97036 and 97053. The biggest common factor number is the GCF number.
So the greatest common factor 97036 and 97053 is 17.

Also check out the Least Common Multiple of 97036 and 97053