What is the Greatest Common Factor of 34608 and 34622?

Greatest common factor (GCF) of 34608 and 34622 is 14.

GCF(34608,34622) = 14

We will now calculate the prime factors of 34608 and 34622, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34608 and 34622.

How to find the GCF of 34608 and 34622?

We will first find the prime factorization of 34608 and 34622. After we will calculate the factors of 34608 and 34622 and find the biggest common factor number .

Step-1: Prime Factorization of 34608

Prime factors of 34608 are 2, 3, 7, 103. Prime factorization of 34608 in exponential form is:

34608 = 2⁴ × 3¹ × 7¹ × 103¹

Step-2: Prime Factorization of 34622

Prime factors of 34622 are 2, 7, 2473. Prime factorization of 34622 in exponential form is:

34622 = 2¹ × 7¹ × 2473¹

Step-3: Factors of 34608

List of positive integer factors of 34608 that divides 34608 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 103, 112, 168, 206, 309, 336, 412, 618, 721, 824, 1236, 1442, 1648, 2163, 2472, 2884, 4326, 4944, 5768, 8652, 11536, 17304

Step-4: Factors of 34622

List of positive integer factors of 34622 that divides 34608 without a remainder.

1, 2, 7, 14, 2473, 4946, 17311

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34608 and 34622. The biggest common factor number is the GCF number.
So the greatest common factor 34608 and 34622 is 14.

Also check out the Least Common Multiple of 34608 and 34622