What is the Greatest Common Factor of 70054 and 70072?

Greatest common factor (GCF) of 70054 and 70072 is 2.

GCF(70054,70072) = 2

We will now calculate the prime factors of 70054 and 70072, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70054 and 70072.

How to find the GCF of 70054 and 70072?

We will first find the prime factorization of 70054 and 70072. After we will calculate the factors of 70054 and 70072 and find the biggest common factor number .

Step-1: Prime Factorization of 70054

Prime factors of 70054 are 2, 35027. Prime factorization of 70054 in exponential form is:

70054 = 2¹ × 35027¹

Step-2: Prime Factorization of 70072

Prime factors of 70072 are 2, 19, 461. Prime factorization of 70072 in exponential form is:

70072 = 2³ × 19¹ × 461¹

Step-3: Factors of 70054

List of positive integer factors of 70054 that divides 70054 without a remainder.

1, 2, 35027

Step-4: Factors of 70072

List of positive integer factors of 70072 that divides 70054 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152, 461, 922, 1844, 3688, 8759, 17518, 35036

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70054 and 70072. The biggest common factor number is the GCF number.
So the greatest common factor 70054 and 70072 is 2.

Also check out the Least Common Multiple of 70054 and 70072