What is the Greatest Common Factor of 3458 and 3471?

Greatest common factor (GCF) of 3458 and 3471 is 13.

GCF(3458,3471) = 13

We will now calculate the prime factors of 3458 and 3471, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3458 and 3471.

How to find the GCF of 3458 and 3471?

We will first find the prime factorization of 3458 and 3471. After we will calculate the factors of 3458 and 3471 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 3471

Prime factors of 3471 are 3, 13, 89. Prime factorization of 3471 in exponential form is:

3471 = 3¹ × 13¹ × 89¹

Step-3: Factors of 3458

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

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

Step-4: Factors of 3471

List of positive integer factors of 3471 that divides 3458 without a remainder.

1, 3, 13, 39, 89, 267, 1157

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3458 and 3471. The biggest common factor number is the GCF number.
So the greatest common factor 3458 and 3471 is 13.

Also check out the Least Common Multiple of 3458 and 3471