What is the Greatest Common Factor of 34783 and 34798?

Greatest common factor (GCF) of 34783 and 34798 is 1.

GCF(34783,34798) = 1

We will now calculate the prime factors of 34783 and 34798, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34783 and 34798.

How to find the GCF of 34783 and 34798?

We will first find the prime factorization of 34783 and 34798. After we will calculate the factors of 34783 and 34798 and find the biggest common factor number .

Step-1: Prime Factorization of 34783

Prime factors of 34783 are 7, 4969. Prime factorization of 34783 in exponential form is:

34783 = 7¹ × 4969¹

Step-2: Prime Factorization of 34798

Prime factors of 34798 are 2, 127, 137. Prime factorization of 34798 in exponential form is:

34798 = 2¹ × 127¹ × 137¹

Step-3: Factors of 34783

List of positive integer factors of 34783 that divides 34783 without a remainder.

1, 7, 4969

Step-4: Factors of 34798

List of positive integer factors of 34798 that divides 34783 without a remainder.

1, 2, 127, 137, 254, 274, 17399

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34783 and 34798. The biggest common factor number is the GCF number.
So the greatest common factor 34783 and 34798 is 1.

Also check out the Least Common Multiple of 34783 and 34798