What is the Greatest Common Factor of 97614 and 97625?

Greatest common factor (GCF) of 97614 and 97625 is 11.

GCF(97614,97625) = 11

We will now calculate the prime factors of 97614 and 97625, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97614 and 97625.

How to find the GCF of 97614 and 97625?

We will first find the prime factorization of 97614 and 97625. After we will calculate the factors of 97614 and 97625 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 97625

Prime factors of 97625 are 5, 11, 71. Prime factorization of 97625 in exponential form is:

97625 = 5³ × 11¹ × 71¹

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 97625

List of positive integer factors of 97625 that divides 97614 without a remainder.

1, 5, 11, 25, 55, 71, 125, 275, 355, 781, 1375, 1775, 3905, 8875, 19525

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97614 and 97625. The biggest common factor number is the GCF number.
So the greatest common factor 97614 and 97625 is 11.

Also check out the Least Common Multiple of 97614 and 97625