What is the Greatest Common Factor of 97160 and 97174?

Greatest common factor (GCF) of 97160 and 97174 is 14.

GCF(97160,97174) = 14

We will now calculate the prime factors of 97160 and 97174, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97160 and 97174.

How to find the GCF of 97160 and 97174?

We will first find the prime factorization of 97160 and 97174. After we will calculate the factors of 97160 and 97174 and find the biggest common factor number .

Step-1: Prime Factorization of 97160

Prime factors of 97160 are 2, 5, 7, 347. Prime factorization of 97160 in exponential form is:

97160 = 2³ × 5¹ × 7¹ × 347¹

Step-2: Prime Factorization of 97174

Prime factors of 97174 are 2, 7, 11, 631. Prime factorization of 97174 in exponential form is:

97174 = 2¹ × 7¹ × 11¹ × 631¹

Step-3: Factors of 97160

List of positive integer factors of 97160 that divides 97160 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280, 347, 694, 1388, 1735, 2429, 2776, 3470, 4858, 6940, 9716, 12145, 13880, 19432, 24290, 48580

Step-4: Factors of 97174

List of positive integer factors of 97174 that divides 97160 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154, 631, 1262, 4417, 6941, 8834, 13882, 48587

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97160 and 97174. The biggest common factor number is the GCF number.
So the greatest common factor 97160 and 97174 is 14.

Also check out the Least Common Multiple of 97160 and 97174