What is the Greatest Common Factor of 71610 and 71629?

Greatest common factor (GCF) of 71610 and 71629 is 1.

GCF(71610,71629) = 1

We will now calculate the prime factors of 71610 and 71629, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71610 and 71629.

How to find the GCF of 71610 and 71629?

We will first find the prime factorization of 71610 and 71629. After we will calculate the factors of 71610 and 71629 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 71629

Prime factors of 71629 are 83, 863. Prime factorization of 71629 in exponential form is:

71629 = 83¹ × 863¹

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 71629

List of positive integer factors of 71629 that divides 71610 without a remainder.

1, 83, 863

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71610 and 71629. The biggest common factor number is the GCF number.
So the greatest common factor 71610 and 71629 is 1.

Also check out the Least Common Multiple of 71610 and 71629