What is the Greatest Common Factor of 97614 and 97622?

Greatest common factor (GCF) of 97614 and 97622 is 2.

GCF(97614,97622) = 2

We will now calculate the prime factors of 97614 and 97622, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97614 and 97622.

How to find the GCF of 97614 and 97622?

We will first find the prime factorization of 97614 and 97622. After we will calculate the factors of 97614 and 97622 and find the biggest common factor number .

Step-1: Prime Factorization of 97614

Prime factors of 97614 are 2, 3, 11, 17, 29. Prime factorization of 97614 in exponential form is:

97614 = 2¹ × 3² × 11¹ × 17¹ × 29¹

Step-2: Prime Factorization of 97622

Prime factors of 97622 are 2, 7, 19, 367. Prime factorization of 97622 in exponential form is:

97622 = 2¹ × 7¹ × 19¹ × 367¹

Step-3: Factors of 97614

List of positive integer factors of 97614 that divides 97614 without a remainder.

1, 2, 3, 6, 9, 11, 17, 18, 22, 29, 33, 34, 51, 58, 66, 87, 99, 102, 153, 174, 187, 198, 261, 306, 319, 374, 493, 522, 561, 638, 957, 986, 1122, 1479, 1683, 1914, 2871, 2958, 3366, 4437, 5423, 5742, 8874, 10846, 16269, 32538, 48807

Step-4: Factors of 97622

List of positive integer factors of 97622 that divides 97614 without a remainder.

1, 2, 7, 14, 19, 38, 133, 266, 367, 734, 2569, 5138, 6973, 13946, 48811

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97614 and 97622. The biggest common factor number is the GCF number.
So the greatest common factor 97614 and 97622 is 2.

Also check out the Least Common Multiple of 97614 and 97622