What is the Greatest Common Factor of 70734 and 70742?

Greatest common factor (GCF) of 70734 and 70742 is 2.

GCF(70734,70742) = 2

We will now calculate the prime factors of 70734 and 70742, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70734 and 70742.

How to find the GCF of 70734 and 70742?

We will first find the prime factorization of 70734 and 70742. After we will calculate the factors of 70734 and 70742 and find the biggest common factor number .

Step-1: Prime Factorization of 70734

Prime factors of 70734 are 2, 3, 11789. Prime factorization of 70734 in exponential form is:

70734 = 2¹ × 3¹ × 11789¹

Step-2: Prime Factorization of 70742

Prime factors of 70742 are 2, 7, 31, 163. Prime factorization of 70742 in exponential form is:

70742 = 2¹ × 7¹ × 31¹ × 163¹

Step-3: Factors of 70734

List of positive integer factors of 70734 that divides 70734 without a remainder.

1, 2, 3, 6, 11789, 23578, 35367

Step-4: Factors of 70742

List of positive integer factors of 70742 that divides 70734 without a remainder.

1, 2, 7, 14, 31, 62, 163, 217, 326, 434, 1141, 2282, 5053, 10106, 35371

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70734 and 70742. The biggest common factor number is the GCF number.
So the greatest common factor 70734 and 70742 is 2.

Also check out the Least Common Multiple of 70734 and 70742