What is the Greatest Common Factor of 3438 and 3458?

Greatest common factor (GCF) of 3438 and 3458 is 2.

GCF(3438,3458) = 2

We will now calculate the prime factors of 3438 and 3458, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3438 and 3458.

How to find the GCF of 3438 and 3458?

We will first find the prime factorization of 3438 and 3458. After we will calculate the factors of 3438 and 3458 and find the biggest common factor number .

Step-1: Prime Factorization of 3438

Prime factors of 3438 are 2, 3, 191. Prime factorization of 3438 in exponential form is:

3438 = 2¹ × 3² × 191¹

Step-2: Prime Factorization of 3458

Prime factors of 3458 are 2, 7, 13, 19. Prime factorization of 3458 in exponential form is:

3458 = 2¹ × 7¹ × 13¹ × 19¹

Step-3: Factors of 3438

List of positive integer factors of 3438 that divides 3438 without a remainder.

1, 2, 3, 6, 9, 18, 191, 382, 573, 1146, 1719

Step-4: Factors of 3458

List of positive integer factors of 3458 that divides 3438 without a remainder.

1, 2, 7, 13, 14, 19, 26, 38, 91, 133, 182, 247, 266, 494, 1729

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3438 and 3458. The biggest common factor number is the GCF number.
So the greatest common factor 3438 and 3458 is 2.

Also check out the Least Common Multiple of 3438 and 3458