What is the Greatest Common Factor of 71610 and 71625?

Greatest common factor (GCF) of 71610 and 71625 is 15.

GCF(71610,71625) = 15

We will now calculate the prime factors of 71610 and 71625, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71610 and 71625.

How to find the GCF of 71610 and 71625?

We will first find the prime factorization of 71610 and 71625. After we will calculate the factors of 71610 and 71625 and find the biggest common factor number .

Step-1: Prime Factorization of 71610

Prime factors of 71610 are 2, 3, 5, 7, 11, 31. Prime factorization of 71610 in exponential form is:

71610 = 2¹ × 3¹ × 5¹ × 7¹ × 11¹ × 31¹

Step-2: Prime Factorization of 71625

Prime factors of 71625 are 3, 5, 191. Prime factorization of 71625 in exponential form is:

71625 = 3¹ × 5³ × 191¹

Step-3: Factors of 71610

List of positive integer factors of 71610 that divides 71610 without a remainder.

1, 2, 3, 5, 6, 7, 10, 11, 14, 15, 21, 22, 30, 31, 33, 35, 42, 55, 62, 66, 70, 77, 93, 105, 110, 154, 155, 165, 186, 210, 217, 231, 310, 330, 341, 385, 434, 462, 465, 651, 682, 770, 930, 1023, 1085, 1155, 1302, 1705, 2046, 2170, 2310, 2387, 3255, 3410, 4774, 5115, 6510, 7161, 10230, 11935, 14322, 23870, 35805

Step-4: Factors of 71625

List of positive integer factors of 71625 that divides 71610 without a remainder.

1, 3, 5, 15, 25, 75, 125, 191, 375, 573, 955, 2865, 4775, 14325, 23875

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71610 and 71625. The biggest common factor number is the GCF number.
So the greatest common factor 71610 and 71625 is 15.

Also check out the Least Common Multiple of 71610 and 71625