What is the Greatest Common Factor of 10054 and 10070?

Greatest common factor (GCF) of 10054 and 10070 is 2.

GCF(10054,10070) = 2

We will now calculate the prime factors of 10054 and 10070, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10054 and 10070.

How to find the GCF of 10054 and 10070?

We will first find the prime factorization of 10054 and 10070. After we will calculate the factors of 10054 and 10070 and find the biggest common factor number .

Step-1: Prime Factorization of 10054

Prime factors of 10054 are 2, 11, 457. Prime factorization of 10054 in exponential form is:

10054 = 2¹ × 11¹ × 457¹

Step-2: Prime Factorization of 10070

Prime factors of 10070 are 2, 5, 19, 53. Prime factorization of 10070 in exponential form is:

10070 = 2¹ × 5¹ × 19¹ × 53¹

Step-3: Factors of 10054

List of positive integer factors of 10054 that divides 10054 without a remainder.

1, 2, 11, 22, 457, 914, 5027

Step-4: Factors of 10070

List of positive integer factors of 10070 that divides 10054 without a remainder.

1, 2, 5, 10, 19, 38, 53, 95, 106, 190, 265, 530, 1007, 2014, 5035

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10054 and 10070. The biggest common factor number is the GCF number.
So the greatest common factor 10054 and 10070 is 2.

Also check out the Least Common Multiple of 10054 and 10070