What is the Greatest Common Factor of 53774 and 53782?

Greatest common factor (GCF) of 53774 and 53782 is 2.

GCF(53774,53782) = 2

We will now calculate the prime factors of 53774 and 53782, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53774 and 53782.

How to find the GCF of 53774 and 53782?

We will first find the prime factorization of 53774 and 53782. After we will calculate the factors of 53774 and 53782 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 53782

Prime factors of 53782 are 2, 26891. Prime factorization of 53782 in exponential form is:

53782 = 2¹ × 26891¹

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 53782

List of positive integer factors of 53782 that divides 53774 without a remainder.

1, 2, 26891

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53774 and 53782. The biggest common factor number is the GCF number.
So the greatest common factor 53774 and 53782 is 2.

Also check out the Least Common Multiple of 53774 and 53782