What is the Greatest Common Factor of 10154 and 10170?

Greatest common factor (GCF) of 10154 and 10170 is 2.

GCF(10154,10170) = 2

We will now calculate the prime factors of 10154 and 10170, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10154 and 10170.

How to find the GCF of 10154 and 10170?

We will first find the prime factorization of 10154 and 10170. After we will calculate the factors of 10154 and 10170 and find the biggest common factor number .

Step-1: Prime Factorization of 10154

Prime factors of 10154 are 2, 5077. Prime factorization of 10154 in exponential form is:

10154 = 2¹ × 5077¹

Step-2: Prime Factorization of 10170

Prime factors of 10170 are 2, 3, 5, 113. Prime factorization of 10170 in exponential form is:

10170 = 2¹ × 3² × 5¹ × 113¹

Step-3: Factors of 10154

List of positive integer factors of 10154 that divides 10154 without a remainder.

1, 2, 5077

Step-4: Factors of 10170

List of positive integer factors of 10170 that divides 10154 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 113, 226, 339, 565, 678, 1017, 1130, 1695, 2034, 3390, 5085

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10154 and 10170. The biggest common factor number is the GCF number.
So the greatest common factor 10154 and 10170 is 2.

Also check out the Least Common Multiple of 10154 and 10170