What is the Greatest Common Factor of 97614 and 97629?

Greatest common factor (GCF) of 97614 and 97629 is 3.

GCF(97614,97629) = 3

We will now calculate the prime factors of 97614 and 97629, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97614 and 97629.

How to find the GCF of 97614 and 97629?

We will first find the prime factorization of 97614 and 97629. After we will calculate the factors of 97614 and 97629 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 97629

Prime factors of 97629 are 3, 7, 4649. Prime factorization of 97629 in exponential form is:

97629 = 3¹ × 7¹ × 4649¹

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 97629

List of positive integer factors of 97629 that divides 97614 without a remainder.

1, 3, 7, 21, 4649, 13947, 32543

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97614 and 97629. The biggest common factor number is the GCF number.
So the greatest common factor 97614 and 97629 is 3.

Also check out the Least Common Multiple of 97614 and 97629