What is the Greatest Common Factor of 70057 and 70072?

Greatest common factor (GCF) of 70057 and 70072 is 1.

GCF(70057,70072) = 1

We will now calculate the prime factors of 70057 and 70072, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70057 and 70072.

How to find the GCF of 70057 and 70072?

We will first find the prime factorization of 70057 and 70072. After we will calculate the factors of 70057 and 70072 and find the biggest common factor number .

Step-1: Prime Factorization of 70057

Prime factors of 70057 are 13, 17, 317. Prime factorization of 70057 in exponential form is:

70057 = 13¹ × 17¹ × 317¹

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 70057

List of positive integer factors of 70057 that divides 70057 without a remainder.

1, 13, 17, 221, 317, 4121, 5389

Step-4: Factors of 70072

List of positive integer factors of 70072 that divides 70057 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 70057 and 70072. The biggest common factor number is the GCF number.
So the greatest common factor 70057 and 70072 is 1.

Also check out the Least Common Multiple of 70057 and 70072