What is the Greatest Common Factor of 54739 and 54758?

Greatest common factor (GCF) of 54739 and 54758 is 19.

GCF(54739,54758) = 19

We will now calculate the prime factors of 54739 and 54758, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54739 and 54758.

How to find the GCF of 54739 and 54758?

We will first find the prime factorization of 54739 and 54758. After we will calculate the factors of 54739 and 54758 and find the biggest common factor number .

Step-1: Prime Factorization of 54739

Prime factors of 54739 are 19, 43, 67. Prime factorization of 54739 in exponential form is:

54739 = 19¹ × 43¹ × 67¹

Step-2: 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-3: Factors of 54739

List of positive integer factors of 54739 that divides 54739 without a remainder.

1, 19, 43, 67, 817, 1273, 2881

Step-4: Factors of 54758

List of positive integer factors of 54758 that divides 54739 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54739 and 54758. The biggest common factor number is the GCF number.
So the greatest common factor 54739 and 54758 is 19.

Also check out the Least Common Multiple of 54739 and 54758