What is the Greatest Common Factor of 34845 and 34862?

Greatest common factor (GCF) of 34845 and 34862 is 1.

GCF(34845,34862) = 1

We will now calculate the prime factors of 34845 and 34862, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34845 and 34862.

How to find the GCF of 34845 and 34862?

We will first find the prime factorization of 34845 and 34862. After we will calculate the factors of 34845 and 34862 and find the biggest common factor number .

Step-1: Prime Factorization of 34845

Prime factors of 34845 are 3, 5, 23, 101. Prime factorization of 34845 in exponential form is:

34845 = 3¹ × 5¹ × 23¹ × 101¹

Step-2: Prime Factorization of 34862

Prime factors of 34862 are 2, 17431. Prime factorization of 34862 in exponential form is:

34862 = 2¹ × 17431¹

Step-3: Factors of 34845

List of positive integer factors of 34845 that divides 34845 without a remainder.

1, 3, 5, 15, 23, 69, 101, 115, 303, 345, 505, 1515, 2323, 6969, 11615

Step-4: Factors of 34862

List of positive integer factors of 34862 that divides 34845 without a remainder.

1, 2, 17431

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34845 and 34862. The biggest common factor number is the GCF number.
So the greatest common factor 34845 and 34862 is 1.

Also check out the Least Common Multiple of 34845 and 34862