What is the Greatest Common Factor of 34476 and 34492?

Greatest common factor (GCF) of 34476 and 34492 is 4.

GCF(34476,34492) = 4

We will now calculate the prime factors of 34476 and 34492, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34476 and 34492.

How to find the GCF of 34476 and 34492?

We will first find the prime factorization of 34476 and 34492. After we will calculate the factors of 34476 and 34492 and find the biggest common factor number .

Step-1: Prime Factorization of 34476

Prime factors of 34476 are 2, 3, 13, 17. Prime factorization of 34476 in exponential form is:

34476 = 2² × 3¹ × 13² × 17¹

Step-2: Prime Factorization of 34492

Prime factors of 34492 are 2, 8623. Prime factorization of 34492 in exponential form is:

34492 = 2² × 8623¹

Step-3: Factors of 34476

List of positive integer factors of 34476 that divides 34476 without a remainder.

1, 2, 3, 4, 6, 12, 13, 17, 26, 34, 39, 51, 52, 68, 78, 102, 156, 169, 204, 221, 338, 442, 507, 663, 676, 884, 1014, 1326, 2028, 2652, 2873, 5746, 8619, 11492, 17238

Step-4: Factors of 34492

List of positive integer factors of 34492 that divides 34476 without a remainder.

1, 2, 4, 8623, 17246

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34476 and 34492. The biggest common factor number is the GCF number.
So the greatest common factor 34476 and 34492 is 4.

Also check out the Least Common Multiple of 34476 and 34492