What is the Greatest Common Factor of 52614 and 52634?

Greatest common factor (GCF) of 52614 and 52634 is 2.

GCF(52614,52634) = 2

We will now calculate the prime factors of 52614 and 52634, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52614 and 52634.

How to find the GCF of 52614 and 52634?

We will first find the prime factorization of 52614 and 52634. After we will calculate the factors of 52614 and 52634 and find the biggest common factor number .

Step-1: Prime Factorization of 52614

Prime factors of 52614 are 2, 3, 37, 79. Prime factorization of 52614 in exponential form is:

52614 = 2¹ × 3² × 37¹ × 79¹

Step-2: Prime Factorization of 52634

Prime factors of 52634 are 2, 26317. Prime factorization of 52634 in exponential form is:

52634 = 2¹ × 26317¹

Step-3: Factors of 52614

List of positive integer factors of 52614 that divides 52614 without a remainder.

1, 2, 3, 6, 9, 18, 37, 74, 79, 111, 158, 222, 237, 333, 474, 666, 711, 1422, 2923, 5846, 8769, 17538, 26307

Step-4: Factors of 52634

List of positive integer factors of 52634 that divides 52614 without a remainder.

1, 2, 26317

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52614 and 52634. The biggest common factor number is the GCF number.
So the greatest common factor 52614 and 52634 is 2.

Also check out the Least Common Multiple of 52614 and 52634