What is the Greatest Common Factor of 70074 and 70087?

Greatest common factor (GCF) of 70074 and 70087 is 1.

GCF(70074,70087) = 1

We will now calculate the prime factors of 70074 and 70087, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70074 and 70087.

How to find the GCF of 70074 and 70087?

We will first find the prime factorization of 70074 and 70087. After we will calculate the factors of 70074 and 70087 and find the biggest common factor number .

Step-1: Prime Factorization of 70074

Prime factors of 70074 are 2, 3, 17, 229. Prime factorization of 70074 in exponential form is:

70074 = 2¹ × 3² × 17¹ × 229¹

Step-2: Prime Factorization of 70087

Prime factors of 70087 are 109, 643. Prime factorization of 70087 in exponential form is:

70087 = 109¹ × 643¹

Step-3: Factors of 70074

List of positive integer factors of 70074 that divides 70074 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 229, 306, 458, 687, 1374, 2061, 3893, 4122, 7786, 11679, 23358, 35037

Step-4: Factors of 70087

List of positive integer factors of 70087 that divides 70074 without a remainder.

1, 109, 643

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70074 and 70087. The biggest common factor number is the GCF number.
So the greatest common factor 70074 and 70087 is 1.

Also check out the Least Common Multiple of 70074 and 70087