What is the Greatest Common Factor of 34638 and 34643?

Greatest common factor (GCF) of 34638 and 34643 is 1.

GCF(34638,34643) = 1

We will now calculate the prime factors of 34638 and 34643, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34638 and 34643.

How to find the GCF of 34638 and 34643?

We will first find the prime factorization of 34638 and 34643. After we will calculate the factors of 34638 and 34643 and find the biggest common factor number .

Step-1: Prime Factorization of 34638

Prime factors of 34638 are 2, 3, 23, 251. Prime factorization of 34638 in exponential form is:

34638 = 2¹ × 3¹ × 23¹ × 251¹

Step-2: Prime Factorization of 34643

Prime factors of 34643 are 7, 101. Prime factorization of 34643 in exponential form is:

34643 = 7³ × 101¹

Step-3: Factors of 34638

List of positive integer factors of 34638 that divides 34638 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138, 251, 502, 753, 1506, 5773, 11546, 17319

Step-4: Factors of 34643

List of positive integer factors of 34643 that divides 34638 without a remainder.

1, 7, 49, 101, 343, 707, 4949

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34638 and 34643. The biggest common factor number is the GCF number.
So the greatest common factor 34638 and 34643 is 1.

Also check out the Least Common Multiple of 34638 and 34643