What is the Greatest Common Factor of 54665 and 54682?

Greatest common factor (GCF) of 54665 and 54682 is 1.

GCF(54665,54682) = 1

We will now calculate the prime factors of 54665 and 54682, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54665 and 54682.

How to find the GCF of 54665 and 54682?

We will first find the prime factorization of 54665 and 54682. After we will calculate the factors of 54665 and 54682 and find the biggest common factor number .

Step-1: Prime Factorization of 54665

Prime factors of 54665 are 5, 13, 29. Prime factorization of 54665 in exponential form is:

54665 = 5¹ × 13¹ × 29²

Step-2: Prime Factorization of 54682

Prime factors of 54682 are 2, 19, 1439. Prime factorization of 54682 in exponential form is:

54682 = 2¹ × 19¹ × 1439¹

Step-3: Factors of 54665

List of positive integer factors of 54665 that divides 54665 without a remainder.

1, 5, 13, 29, 65, 145, 377, 841, 1885, 4205, 10933

Step-4: Factors of 54682

List of positive integer factors of 54682 that divides 54665 without a remainder.

1, 2, 19, 38, 1439, 2878, 27341

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54665 and 54682. The biggest common factor number is the GCF number.
So the greatest common factor 54665 and 54682 is 1.

Also check out the Least Common Multiple of 54665 and 54682