What is the Greatest Common Factor of 70674 and 70678?

Greatest common factor (GCF) of 70674 and 70678 is 2.

GCF(70674,70678) = 2

We will now calculate the prime factors of 70674 and 70678, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70674 and 70678.

How to find the GCF of 70674 and 70678?

We will first find the prime factorization of 70674 and 70678. After we will calculate the factors of 70674 and 70678 and find the biggest common factor number .

Step-1: Prime Factorization of 70674

Prime factors of 70674 are 2, 3, 11779. Prime factorization of 70674 in exponential form is:

70674 = 2¹ × 3¹ × 11779¹

Step-2: Prime Factorization of 70678

Prime factors of 70678 are 2, 35339. Prime factorization of 70678 in exponential form is:

70678 = 2¹ × 35339¹

Step-3: Factors of 70674

List of positive integer factors of 70674 that divides 70674 without a remainder.

1, 2, 3, 6, 11779, 23558, 35337

Step-4: Factors of 70678

List of positive integer factors of 70678 that divides 70674 without a remainder.

1, 2, 35339

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70674 and 70678. The biggest common factor number is the GCF number.
So the greatest common factor 70674 and 70678 is 2.

Also check out the Least Common Multiple of 70674 and 70678