What is the Greatest Common Factor of 71610 and 71630?

Greatest common factor (GCF) of 71610 and 71630 is 10.

GCF(71610,71630) = 10

We will now calculate the prime factors of 71610 and 71630, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71610 and 71630.

How to find the GCF of 71610 and 71630?

We will first find the prime factorization of 71610 and 71630. After we will calculate the factors of 71610 and 71630 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 71630

Prime factors of 71630 are 2, 5, 13, 19, 29. Prime factorization of 71630 in exponential form is:

71630 = 2¹ × 5¹ × 13¹ × 19¹ × 29¹

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 71630

List of positive integer factors of 71630 that divides 71610 without a remainder.

1, 2, 5, 10, 13, 19, 26, 29, 38, 58, 65, 95, 130, 145, 190, 247, 290, 377, 494, 551, 754, 1102, 1235, 1885, 2470, 2755, 3770, 5510, 7163, 14326, 35815

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71610 and 71630. The biggest common factor number is the GCF number.
So the greatest common factor 71610 and 71630 is 10.

Also check out the Least Common Multiple of 71610 and 71630