What is the Greatest Common Factor of 34609 and 34624?

Greatest common factor (GCF) of 34609 and 34624 is 1.

GCF(34609,34624) = 1

We will now calculate the prime factors of 34609 and 34624, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34609 and 34624.

How to find the GCF of 34609 and 34624?

We will first find the prime factorization of 34609 and 34624. After we will calculate the factors of 34609 and 34624 and find the biggest common factor number .

Step-1: Prime Factorization of 34609

Prime factors of 34609 are 53, 653. Prime factorization of 34609 in exponential form is:

34609 = 53¹ × 653¹

Step-2: Prime Factorization of 34624

Prime factors of 34624 are 2, 541. Prime factorization of 34624 in exponential form is:

34624 = 2⁶ × 541¹

Step-3: Factors of 34609

List of positive integer factors of 34609 that divides 34609 without a remainder.

1, 53, 653

Step-4: Factors of 34624

List of positive integer factors of 34624 that divides 34609 without a remainder.

1, 2, 4, 8, 16, 32, 64, 541, 1082, 2164, 4328, 8656, 17312

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34609 and 34624. The biggest common factor number is the GCF number.
So the greatest common factor 34609 and 34624 is 1.

Also check out the Least Common Multiple of 34609 and 34624