What is the Greatest Common Factor of 34608 and 34625?

Greatest common factor (GCF) of 34608 and 34625 is 1.

GCF(34608,34625) = 1

We will now calculate the prime factors of 34608 and 34625, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34608 and 34625.

How to find the GCF of 34608 and 34625?

We will first find the prime factorization of 34608 and 34625. After we will calculate the factors of 34608 and 34625 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 34625

Prime factors of 34625 are 5, 277. Prime factorization of 34625 in exponential form is:

34625 = 5³ × 277¹

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 34625

List of positive integer factors of 34625 that divides 34608 without a remainder.

1, 5, 25, 125, 277, 1385, 6925

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34608 and 34625. The biggest common factor number is the GCF number.
So the greatest common factor 34608 and 34625 is 1.

Also check out the Least Common Multiple of 34608 and 34625