What is the Greatest Common Factor of 34671 and 34688?

Greatest common factor (GCF) of 34671 and 34688 is 1.

GCF(34671,34688) = 1

We will now calculate the prime factors of 34671 and 34688, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34671 and 34688.

How to find the GCF of 34671 and 34688?

We will first find the prime factorization of 34671 and 34688. After we will calculate the factors of 34671 and 34688 and find the biggest common factor number .

Step-1: Prime Factorization of 34671

Prime factors of 34671 are 3, 7, 13, 127. Prime factorization of 34671 in exponential form is:

34671 = 3¹ × 7¹ × 13¹ × 127¹

Step-2: Prime Factorization of 34688

Prime factors of 34688 are 2, 271. Prime factorization of 34688 in exponential form is:

34688 = 2⁷ × 271¹

Step-3: Factors of 34671

List of positive integer factors of 34671 that divides 34671 without a remainder.

1, 3, 7, 13, 21, 39, 91, 127, 273, 381, 889, 1651, 2667, 4953, 11557

Step-4: Factors of 34688

List of positive integer factors of 34688 that divides 34671 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 271, 542, 1084, 2168, 4336, 8672, 17344

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34671 and 34688. The biggest common factor number is the GCF number.
So the greatest common factor 34671 and 34688 is 1.

Also check out the Least Common Multiple of 34671 and 34688