What is the Greatest Common Factor of 70055 and 70072?

Greatest common factor (GCF) of 70055 and 70072 is 1.

GCF(70055,70072) = 1

We will now calculate the prime factors of 70055 and 70072, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70055 and 70072.

How to find the GCF of 70055 and 70072?

We will first find the prime factorization of 70055 and 70072. After we will calculate the factors of 70055 and 70072 and find the biggest common factor number .

Step-1: Prime Factorization of 70055

Prime factors of 70055 are 5, 14011. Prime factorization of 70055 in exponential form is:

70055 = 5¹ × 14011¹

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 70055

List of positive integer factors of 70055 that divides 70055 without a remainder.

1, 5, 14011

Step-4: Factors of 70072

List of positive integer factors of 70072 that divides 70055 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 70055 and 70072. The biggest common factor number is the GCF number.
So the greatest common factor 70055 and 70072 is 1.

Also check out the Least Common Multiple of 70055 and 70072