What is the Greatest Common Factor of 10354 and 10370?

Greatest common factor (GCF) of 10354 and 10370 is 2.

GCF(10354,10370) = 2

We will now calculate the prime factors of 10354 and 10370, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10354 and 10370.

How to find the GCF of 10354 and 10370?

We will first find the prime factorization of 10354 and 10370. After we will calculate the factors of 10354 and 10370 and find the biggest common factor number .

Step-1: Prime Factorization of 10354

Prime factors of 10354 are 2, 31, 167. Prime factorization of 10354 in exponential form is:

10354 = 2¹ × 31¹ × 167¹

Step-2: Prime Factorization of 10370

Prime factors of 10370 are 2, 5, 17, 61. Prime factorization of 10370 in exponential form is:

10370 = 2¹ × 5¹ × 17¹ × 61¹

Step-3: Factors of 10354

List of positive integer factors of 10354 that divides 10354 without a remainder.

1, 2, 31, 62, 167, 334, 5177

Step-4: Factors of 10370

List of positive integer factors of 10370 that divides 10354 without a remainder.

1, 2, 5, 10, 17, 34, 61, 85, 122, 170, 305, 610, 1037, 2074, 5185

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10354 and 10370. The biggest common factor number is the GCF number.
So the greatest common factor 10354 and 10370 is 2.

Also check out the Least Common Multiple of 10354 and 10370