What is the Greatest Common Factor of 70674 and 70683?

Greatest common factor (GCF) of 70674 and 70683 is 3.

GCF(70674,70683) = 3

We will now calculate the prime factors of 70674 and 70683, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70674 and 70683.

How to find the GCF of 70674 and 70683?

We will first find the prime factorization of 70674 and 70683. After we will calculate the factors of 70674 and 70683 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 70683

Prime factors of 70683 are 3, 23561. Prime factorization of 70683 in exponential form is:

70683 = 3¹ × 23561¹

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 70683

List of positive integer factors of 70683 that divides 70674 without a remainder.

1, 3, 23561

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70674 and 70683. The biggest common factor number is the GCF number.
So the greatest common factor 70674 and 70683 is 3.

Also check out the Least Common Multiple of 70674 and 70683