What is the Greatest Common Factor of 51054 and 51070?

Greatest common factor (GCF) of 51054 and 51070 is 2.

GCF(51054,51070) = 2

We will now calculate the prime factors of 51054 and 51070, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51054 and 51070.

How to find the GCF of 51054 and 51070?

We will first find the prime factorization of 51054 and 51070. After we will calculate the factors of 51054 and 51070 and find the biggest common factor number .

Step-1: Prime Factorization of 51054

Prime factors of 51054 are 2, 3, 67, 127. Prime factorization of 51054 in exponential form is:

51054 = 2¹ × 3¹ × 67¹ × 127¹

Step-2: Prime Factorization of 51070

Prime factors of 51070 are 2, 5, 5107. Prime factorization of 51070 in exponential form is:

51070 = 2¹ × 5¹ × 5107¹

Step-3: Factors of 51054

List of positive integer factors of 51054 that divides 51054 without a remainder.

1, 2, 3, 6, 67, 127, 134, 201, 254, 381, 402, 762, 8509, 17018, 25527

Step-4: Factors of 51070

List of positive integer factors of 51070 that divides 51054 without a remainder.

1, 2, 5, 10, 5107, 10214, 25535

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51054 and 51070. The biggest common factor number is the GCF number.
So the greatest common factor 51054 and 51070 is 2.

Also check out the Least Common Multiple of 51054 and 51070