What is the Greatest Common Factor of 54758 and 54767?

Greatest common factor (GCF) of 54758 and 54767 is 1.

GCF(54758,54767) = 1

We will now calculate the prime factors of 54758 and 54767, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54758 and 54767.

How to find the GCF of 54758 and 54767?

We will first find the prime factorization of 54758 and 54767. After we will calculate the factors of 54758 and 54767 and find the biggest common factor number .

Step-1: Prime Factorization of 54758

Prime factors of 54758 are 2, 11, 19, 131. Prime factorization of 54758 in exponential form is:

54758 = 2¹ × 11¹ × 19¹ × 131¹

Step-2: Prime Factorization of 54767

Prime factors of 54767 are 54767. Prime factorization of 54767 in exponential form is:

54767 = 54767¹

Step-3: Factors of 54758

List of positive integer factors of 54758 that divides 54758 without a remainder.

1, 2, 11, 19, 22, 38, 131, 209, 262, 418, 1441, 2489, 2882, 4978, 27379

Step-4: Factors of 54767

List of positive integer factors of 54767 that divides 54758 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54758 and 54767. The biggest common factor number is the GCF number.
So the greatest common factor 54758 and 54767 is 1.

Also check out the Least Common Multiple of 54758 and 54767