What is the Greatest Common Factor of 34532 and 34546?

Greatest common factor (GCF) of 34532 and 34546 is 2.

GCF(34532,34546) = 2

We will now calculate the prime factors of 34532 and 34546, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34532 and 34546.

How to find the GCF of 34532 and 34546?

We will first find the prime factorization of 34532 and 34546. After we will calculate the factors of 34532 and 34546 and find the biggest common factor number .

Step-1: Prime Factorization of 34532

Prime factors of 34532 are 2, 89, 97. Prime factorization of 34532 in exponential form is:

34532 = 2² × 89¹ × 97¹

Step-2: Prime Factorization of 34546

Prime factors of 34546 are 2, 23, 751. Prime factorization of 34546 in exponential form is:

34546 = 2¹ × 23¹ × 751¹

Step-3: Factors of 34532

List of positive integer factors of 34532 that divides 34532 without a remainder.

1, 2, 4, 89, 97, 178, 194, 356, 388, 8633, 17266

Step-4: Factors of 34546

List of positive integer factors of 34546 that divides 34532 without a remainder.

1, 2, 23, 46, 751, 1502, 17273

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34532 and 34546. The biggest common factor number is the GCF number.
So the greatest common factor 34532 and 34546 is 2.

Also check out the Least Common Multiple of 34532 and 34546