What is the Greatest Common Factor of 10850 and 10857?

Greatest common factor (GCF) of 10850 and 10857 is 7.

GCF(10850,10857) = 7

We will now calculate the prime factors of 10850 and 10857, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10850 and 10857.

How to find the GCF of 10850 and 10857?

We will first find the prime factorization of 10850 and 10857. After we will calculate the factors of 10850 and 10857 and find the biggest common factor number .

Step-1: Prime Factorization of 10850

Prime factors of 10850 are 2, 5, 7, 31. Prime factorization of 10850 in exponential form is:

10850 = 2¹ × 5² × 7¹ × 31¹

Step-2: Prime Factorization of 10857

Prime factors of 10857 are 3, 7, 11, 47. Prime factorization of 10857 in exponential form is:

10857 = 3¹ × 7¹ × 11¹ × 47¹

Step-3: Factors of 10850

List of positive integer factors of 10850 that divides 10850 without a remainder.

1, 2, 5, 7, 10, 14, 25, 31, 35, 50, 62, 70, 155, 175, 217, 310, 350, 434, 775, 1085, 1550, 2170, 5425

Step-4: Factors of 10857

List of positive integer factors of 10857 that divides 10850 without a remainder.

1, 3, 7, 11, 21, 33, 47, 77, 141, 231, 329, 517, 987, 1551, 3619

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10850 and 10857. The biggest common factor number is the GCF number.
So the greatest common factor 10850 and 10857 is 7.

Also check out the Least Common Multiple of 10850 and 10857