What is the Greatest Common Factor of 58614 and 58634?

Greatest common factor (GCF) of 58614 and 58634 is 2.

GCF(58614,58634) = 2

We will now calculate the prime factors of 58614 and 58634, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58614 and 58634.

How to find the GCF of 58614 and 58634?

We will first find the prime factorization of 58614 and 58634. After we will calculate the factors of 58614 and 58634 and find the biggest common factor number .

Step-1: Prime Factorization of 58614

Prime factors of 58614 are 2, 3, 9769. Prime factorization of 58614 in exponential form is:

58614 = 2¹ × 3¹ × 9769¹

Step-2: Prime Factorization of 58634

Prime factors of 58634 are 2, 19, 1543. Prime factorization of 58634 in exponential form is:

58634 = 2¹ × 19¹ × 1543¹

Step-3: Factors of 58614

List of positive integer factors of 58614 that divides 58614 without a remainder.

1, 2, 3, 6, 9769, 19538, 29307

Step-4: Factors of 58634

List of positive integer factors of 58634 that divides 58614 without a remainder.

1, 2, 19, 38, 1543, 3086, 29317

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58614 and 58634. The biggest common factor number is the GCF number.
So the greatest common factor 58614 and 58634 is 2.

Also check out the Least Common Multiple of 58614 and 58634