What is the Greatest Common Factor of 34673 and 34692?

Greatest common factor (GCF) of 34673 and 34692 is 1.

GCF(34673,34692) = 1

We will now calculate the prime factors of 34673 and 34692, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34673 and 34692.

How to find the GCF of 34673 and 34692?

We will first find the prime factorization of 34673 and 34692. After we will calculate the factors of 34673 and 34692 and find the biggest common factor number .

Step-1: Prime Factorization of 34673

Prime factors of 34673 are 34673. Prime factorization of 34673 in exponential form is:

34673 = 34673¹

Step-2: Prime Factorization of 34692

Prime factors of 34692 are 2, 3, 7, 59. Prime factorization of 34692 in exponential form is:

34692 = 2² × 3¹ × 7² × 59¹

Step-3: Factors of 34673

List of positive integer factors of 34673 that divides 34673 without a remainder.

Step-4: Factors of 34692

List of positive integer factors of 34692 that divides 34673 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 59, 84, 98, 118, 147, 177, 196, 236, 294, 354, 413, 588, 708, 826, 1239, 1652, 2478, 2891, 4956, 5782, 8673, 11564, 17346

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34673 and 34692. The biggest common factor number is the GCF number.
So the greatest common factor 34673 and 34692 is 1.

Also check out the Least Common Multiple of 34673 and 34692