What is the Greatest Common Factor of 97076 and 97090?

Greatest common factor (GCF) of 97076 and 97090 is 14.

GCF(97076,97090) = 14

We will now calculate the prime factors of 97076 and 97090, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97076 and 97090.

How to find the GCF of 97076 and 97090?

We will first find the prime factorization of 97076 and 97090. After we will calculate the factors of 97076 and 97090 and find the biggest common factor number .

Step-1: Prime Factorization of 97076

Prime factors of 97076 are 2, 7, 3467. Prime factorization of 97076 in exponential form is:

97076 = 2² × 7¹ × 3467¹

Step-2: 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-3: Factors of 97076

List of positive integer factors of 97076 that divides 97076 without a remainder.

1, 2, 4, 7, 14, 28, 3467, 6934, 13868, 24269, 48538

Step-4: Factors of 97090

List of positive integer factors of 97090 that divides 97076 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97076 and 97090. The biggest common factor number is the GCF number.
So the greatest common factor 97076 and 97090 is 14.

Also check out the Least Common Multiple of 97076 and 97090