What is the Greatest Common Factor of 71610 and 71624?

Greatest common factor (GCF) of 71610 and 71624 is 14.

GCF(71610,71624) = 14

We will now calculate the prime factors of 71610 and 71624, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71610 and 71624.

How to find the GCF of 71610 and 71624?

We will first find the prime factorization of 71610 and 71624. After we will calculate the factors of 71610 and 71624 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 71624

Prime factors of 71624 are 2, 7, 1279. Prime factorization of 71624 in exponential form is:

71624 = 2³ × 7¹ × 1279¹

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 71624

List of positive integer factors of 71624 that divides 71610 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1279, 2558, 5116, 8953, 10232, 17906, 35812

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71610 and 71624. The biggest common factor number is the GCF number.
So the greatest common factor 71610 and 71624 is 14.

Also check out the Least Common Multiple of 71610 and 71624