What is the Greatest Common Factor of 4054 and 4070?

Greatest common factor (GCF) of 4054 and 4070 is 2.

GCF(4054,4070) = 2

We will now calculate the prime factors of 4054 and 4070, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4054 and 4070.

How to find the GCF of 4054 and 4070?

We will first find the prime factorization of 4054 and 4070. After we will calculate the factors of 4054 and 4070 and find the biggest common factor number .

Step-1: Prime Factorization of 4054

Prime factors of 4054 are 2, 2027. Prime factorization of 4054 in exponential form is:

4054 = 2¹ × 2027¹

Step-2: Prime Factorization of 4070

Prime factors of 4070 are 2, 5, 11, 37. Prime factorization of 4070 in exponential form is:

4070 = 2¹ × 5¹ × 11¹ × 37¹

Step-3: Factors of 4054

List of positive integer factors of 4054 that divides 4054 without a remainder.

1, 2, 2027

Step-4: Factors of 4070

List of positive integer factors of 4070 that divides 4054 without a remainder.

1, 2, 5, 10, 11, 22, 37, 55, 74, 110, 185, 370, 407, 814, 2035

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4054 and 4070. The biggest common factor number is the GCF number.
So the greatest common factor 4054 and 4070 is 2.

Also check out the Least Common Multiple of 4054 and 4070