What is the Greatest Common Factor of 97090 and 97095?

Greatest common factor (GCF) of 97090 and 97095 is 5.

GCF(97090,97095) = 5

We will now calculate the prime factors of 97090 and 97095, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97090 and 97095.

How to find the GCF of 97090 and 97095?

We will first find the prime factorization of 97090 and 97095. After we will calculate the factors of 97090 and 97095 and find the biggest common factor number .

Step-1: Prime Factorization of 97090

Prime factors of 97090 are 2, 5, 7, 19, 73. Prime factorization of 97090 in exponential form is:

97090 = 2¹ × 5¹ × 7¹ × 19¹ × 73¹

Step-2: Prime Factorization of 97095

Prime factors of 97095 are 3, 5, 6473. Prime factorization of 97095 in exponential form is:

97095 = 3¹ × 5¹ × 6473¹

Step-3: Factors of 97090

List of positive integer factors of 97090 that divides 97090 without a remainder.

1, 2, 5, 7, 10, 14, 19, 35, 38, 70, 73, 95, 133, 146, 190, 266, 365, 511, 665, 730, 1022, 1330, 1387, 2555, 2774, 5110, 6935, 9709, 13870, 19418, 48545

Step-4: Factors of 97095

List of positive integer factors of 97095 that divides 97090 without a remainder.

1, 3, 5, 15, 6473, 19419, 32365

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97090 and 97095. The biggest common factor number is the GCF number.
So the greatest common factor 97090 and 97095 is 5.

Also check out the Least Common Multiple of 97090 and 97095