What is the Greatest Common Factor of 5150 and 5170?

Greatest common factor (GCF) of 5150 and 5170 is 10.

GCF(5150,5170) = 10

We will now calculate the prime factors of 5150 and 5170, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5150 and 5170.

How to find the GCF of 5150 and 5170?

We will first find the prime factorization of 5150 and 5170. After we will calculate the factors of 5150 and 5170 and find the biggest common factor number .

Step-1: Prime Factorization of 5150

Prime factors of 5150 are 2, 5, 103. Prime factorization of 5150 in exponential form is:

5150 = 2¹ × 5² × 103¹

Step-2: Prime Factorization of 5170

Prime factors of 5170 are 2, 5, 11, 47. Prime factorization of 5170 in exponential form is:

5170 = 2¹ × 5¹ × 11¹ × 47¹

Step-3: Factors of 5150

List of positive integer factors of 5150 that divides 5150 without a remainder.

1, 2, 5, 10, 25, 50, 103, 206, 515, 1030, 2575

Step-4: Factors of 5170

List of positive integer factors of 5170 that divides 5150 without a remainder.

1, 2, 5, 10, 11, 22, 47, 55, 94, 110, 235, 470, 517, 1034, 2585

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5150 and 5170. The biggest common factor number is the GCF number.
So the greatest common factor 5150 and 5170 is 10.

Also check out the Least Common Multiple of 5150 and 5170