What is the Greatest Common Factor of 34614 and 34633?

Greatest common factor (GCF) of 34614 and 34633 is 1.

GCF(34614,34633) = 1

We will now calculate the prime factors of 34614 and 34633, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34614 and 34633.

How to find the GCF of 34614 and 34633?

We will first find the prime factorization of 34614 and 34633. After we will calculate the factors of 34614 and 34633 and find the biggest common factor number .

Step-1: Prime Factorization of 34614

Prime factors of 34614 are 2, 3, 641. Prime factorization of 34614 in exponential form is:

34614 = 2¹ × 3³ × 641¹

Step-2: Prime Factorization of 34633

Prime factors of 34633 are 59, 587. Prime factorization of 34633 in exponential form is:

34633 = 59¹ × 587¹

Step-3: Factors of 34614

List of positive integer factors of 34614 that divides 34614 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 641, 1282, 1923, 3846, 5769, 11538, 17307

Step-4: Factors of 34633

List of positive integer factors of 34633 that divides 34614 without a remainder.

1, 59, 587

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34614 and 34633. The biggest common factor number is the GCF number.
So the greatest common factor 34614 and 34633 is 1.

Also check out the Least Common Multiple of 34614 and 34633