What is the Greatest Common Factor of 71600 and 71610?

Greatest common factor (GCF) of 71600 and 71610 is 10.

GCF(71600,71610) = 10

We will now calculate the prime factors of 71600 and 71610, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71600 and 71610.

How to find the GCF of 71600 and 71610?

We will first find the prime factorization of 71600 and 71610. After we will calculate the factors of 71600 and 71610 and find the biggest common factor number .

Step-1: Prime Factorization of 71600

Prime factors of 71600 are 2, 5, 179. Prime factorization of 71600 in exponential form is:

71600 = 2⁴ × 5² × 179¹

Step-2: 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-3: Factors of 71600

List of positive integer factors of 71600 that divides 71600 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 179, 200, 358, 400, 716, 895, 1432, 1790, 2864, 3580, 4475, 7160, 8950, 14320, 17900, 35800

Step-4: Factors of 71610

List of positive integer factors of 71610 that divides 71600 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71600 and 71610. The biggest common factor number is the GCF number.
So the greatest common factor 71600 and 71610 is 10.

Also check out the Least Common Multiple of 71600 and 71610