What is the Greatest Common Factor of 53734 and 53746?

Greatest common factor (GCF) of 53734 and 53746 is 2.

GCF(53734,53746) = 2

We will now calculate the prime factors of 53734 and 53746, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53734 and 53746.

How to find the GCF of 53734 and 53746?

We will first find the prime factorization of 53734 and 53746. After we will calculate the factors of 53734 and 53746 and find the biggest common factor number .

Step-1: Prime Factorization of 53734

Prime factors of 53734 are 2, 67, 401. Prime factorization of 53734 in exponential form is:

53734 = 2¹ × 67¹ × 401¹

Step-2: Prime Factorization of 53746

Prime factors of 53746 are 2, 7, 11, 349. Prime factorization of 53746 in exponential form is:

53746 = 2¹ × 7¹ × 11¹ × 349¹

Step-3: Factors of 53734

List of positive integer factors of 53734 that divides 53734 without a remainder.

1, 2, 67, 134, 401, 802, 26867

Step-4: Factors of 53746

List of positive integer factors of 53746 that divides 53734 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154, 349, 698, 2443, 3839, 4886, 7678, 26873

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53734 and 53746. The biggest common factor number is the GCF number.
So the greatest common factor 53734 and 53746 is 2.

Also check out the Least Common Multiple of 53734 and 53746