What is the Greatest Common Factor of 53774 and 53794?

Greatest common factor (GCF) of 53774 and 53794 is 2.

GCF(53774,53794) = 2

We will now calculate the prime factors of 53774 and 53794, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53774 and 53794.

How to find the GCF of 53774 and 53794?

We will first find the prime factorization of 53774 and 53794. After we will calculate the factors of 53774 and 53794 and find the biggest common factor number .

Step-1: Prime Factorization of 53774

Prime factors of 53774 are 2, 7, 23, 167. Prime factorization of 53774 in exponential form is:

53774 = 2¹ × 7¹ × 23¹ × 167¹

Step-2: Prime Factorization of 53794

Prime factors of 53794 are 2, 13, 2069. Prime factorization of 53794 in exponential form is:

53794 = 2¹ × 13¹ × 2069¹

Step-3: Factors of 53774

List of positive integer factors of 53774 that divides 53774 without a remainder.

1, 2, 7, 14, 23, 46, 161, 167, 322, 334, 1169, 2338, 3841, 7682, 26887

Step-4: Factors of 53794

List of positive integer factors of 53794 that divides 53774 without a remainder.

1, 2, 13, 26, 2069, 4138, 26897

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53774 and 53794. The biggest common factor number is the GCF number.
So the greatest common factor 53774 and 53794 is 2.

Also check out the Least Common Multiple of 53774 and 53794