What is the Greatest Common Factor of 70074 and 70082?

Greatest common factor (GCF) of 70074 and 70082 is 2.

GCF(70074,70082) = 2

We will now calculate the prime factors of 70074 and 70082, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70074 and 70082.

How to find the GCF of 70074 and 70082?

We will first find the prime factorization of 70074 and 70082. After we will calculate the factors of 70074 and 70082 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 70082

Prime factors of 70082 are 2, 67, 523. Prime factorization of 70082 in exponential form is:

70082 = 2¹ × 67¹ × 523¹

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 70082

List of positive integer factors of 70082 that divides 70074 without a remainder.

1, 2, 67, 134, 523, 1046, 35041

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70074 and 70082. The biggest common factor number is the GCF number.
So the greatest common factor 70074 and 70082 is 2.

Also check out the Least Common Multiple of 70074 and 70082