What is the Greatest Common Factor of 97053 and 97070?

Greatest common factor (GCF) of 97053 and 97070 is 17.

GCF(97053,97070) = 17

We will now calculate the prime factors of 97053 and 97070, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97053 and 97070.

How to find the GCF of 97053 and 97070?

We will first find the prime factorization of 97053 and 97070. After we will calculate the factors of 97053 and 97070 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 97070

Prime factors of 97070 are 2, 5, 17, 571. Prime factorization of 97070 in exponential form is:

97070 = 2¹ × 5¹ × 17¹ × 571¹

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 97070

List of positive integer factors of 97070 that divides 97053 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170, 571, 1142, 2855, 5710, 9707, 19414, 48535

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97053 and 97070. The biggest common factor number is the GCF number.
So the greatest common factor 97053 and 97070 is 17.

Also check out the Least Common Multiple of 97053 and 97070