What is the Greatest Common Factor of 71750 and 71770?

Greatest common factor (GCF) of 71750 and 71770 is 10.

GCF(71750,71770) = 10

We will now calculate the prime factors of 71750 and 71770, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71750 and 71770.

How to find the GCF of 71750 and 71770?

We will first find the prime factorization of 71750 and 71770. After we will calculate the factors of 71750 and 71770 and find the biggest common factor number .

Step-1: Prime Factorization of 71750

Prime factors of 71750 are 2, 5, 7, 41. Prime factorization of 71750 in exponential form is:

71750 = 2¹ × 5³ × 7¹ × 41¹

Step-2: Prime Factorization of 71770

Prime factors of 71770 are 2, 5, 7177. Prime factorization of 71770 in exponential form is:

71770 = 2¹ × 5¹ × 7177¹

Step-3: Factors of 71750

List of positive integer factors of 71750 that divides 71750 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 41, 50, 70, 82, 125, 175, 205, 250, 287, 350, 410, 574, 875, 1025, 1435, 1750, 2050, 2870, 5125, 7175, 10250, 14350, 35875

Step-4: Factors of 71770

List of positive integer factors of 71770 that divides 71750 without a remainder.

1, 2, 5, 10, 7177, 14354, 35885

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71750 and 71770. The biggest common factor number is the GCF number.
So the greatest common factor 71750 and 71770 is 10.

Also check out the Least Common Multiple of 71750 and 71770