What is the Greatest Common Factor of 34454 and 34465?

Greatest common factor (GCF) of 34454 and 34465 is 1.

GCF(34454,34465) = 1

We will now calculate the prime factors of 34454 and 34465, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34454 and 34465.

How to find the GCF of 34454 and 34465?

We will first find the prime factorization of 34454 and 34465. After we will calculate the factors of 34454 and 34465 and find the biggest common factor number .

Step-1: Prime Factorization of 34454

Prime factors of 34454 are 2, 7, 23, 107. Prime factorization of 34454 in exponential form is:

34454 = 2¹ × 7¹ × 23¹ × 107¹

Step-2: Prime Factorization of 34465

Prime factors of 34465 are 5, 61, 113. Prime factorization of 34465 in exponential form is:

34465 = 5¹ × 61¹ × 113¹

Step-3: Factors of 34454

List of positive integer factors of 34454 that divides 34454 without a remainder.

1, 2, 7, 14, 23, 46, 107, 161, 214, 322, 749, 1498, 2461, 4922, 17227

Step-4: Factors of 34465

List of positive integer factors of 34465 that divides 34454 without a remainder.

1, 5, 61, 113, 305, 565, 6893

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34454 and 34465. The biggest common factor number is the GCF number.
So the greatest common factor 34454 and 34465 is 1.

Also check out the Least Common Multiple of 34454 and 34465