What is the Greatest Common Factor of 97614 and 97633?

Greatest common factor (GCF) of 97614 and 97633 is 1.

GCF(97614,97633) = 1

We will now calculate the prime factors of 97614 and 97633, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97614 and 97633.

How to find the GCF of 97614 and 97633?

We will first find the prime factorization of 97614 and 97633. After we will calculate the factors of 97614 and 97633 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 97633

Prime factors of 97633 are 89, 1097. Prime factorization of 97633 in exponential form is:

97633 = 89¹ × 1097¹

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 97633

List of positive integer factors of 97633 that divides 97614 without a remainder.

1, 89, 1097

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97614 and 97633. The biggest common factor number is the GCF number.
So the greatest common factor 97614 and 97633 is 1.

Also check out the Least Common Multiple of 97614 and 97633