What is the Greatest Common Factor of 70430 and 70442?

Greatest common factor (GCF) of 70430 and 70442 is 2.

GCF(70430,70442) = 2

We will now calculate the prime factors of 70430 and 70442, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70430 and 70442.

How to find the GCF of 70430 and 70442?

We will first find the prime factorization of 70430 and 70442. After we will calculate the factors of 70430 and 70442 and find the biggest common factor number .

Step-1: Prime Factorization of 70430

Prime factors of 70430 are 2, 5, 7043. Prime factorization of 70430 in exponential form is:

70430 = 2¹ × 5¹ × 7043¹

Step-2: Prime Factorization of 70442

Prime factors of 70442 are 2, 35221. Prime factorization of 70442 in exponential form is:

70442 = 2¹ × 35221¹

Step-3: Factors of 70430

List of positive integer factors of 70430 that divides 70430 without a remainder.

1, 2, 5, 10, 7043, 14086, 35215

Step-4: Factors of 70442

List of positive integer factors of 70442 that divides 70430 without a remainder.

1, 2, 35221

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70430 and 70442. The biggest common factor number is the GCF number.
So the greatest common factor 70430 and 70442 is 2.

Also check out the Least Common Multiple of 70430 and 70442