What is the Greatest Common Factor of 59754 and 59771?

Greatest common factor (GCF) of 59754 and 59771 is 1.

GCF(59754,59771) = 1

We will now calculate the prime factors of 59754 and 59771, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59754 and 59771.

How to find the GCF of 59754 and 59771?

We will first find the prime factorization of 59754 and 59771. After we will calculate the factors of 59754 and 59771 and find the biggest common factor number .

Step-1: Prime Factorization of 59754

Prime factors of 59754 are 2, 3, 23, 433. Prime factorization of 59754 in exponential form is:

59754 = 2¹ × 3¹ × 23¹ × 433¹

Step-2: Prime Factorization of 59771

Prime factors of 59771 are 59771. Prime factorization of 59771 in exponential form is:

59771 = 59771¹

Step-3: Factors of 59754

List of positive integer factors of 59754 that divides 59754 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138, 433, 866, 1299, 2598, 9959, 19918, 29877

Step-4: Factors of 59771

List of positive integer factors of 59771 that divides 59754 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59754 and 59771. The biggest common factor number is the GCF number.
So the greatest common factor 59754 and 59771 is 1.

Also check out the Least Common Multiple of 59754 and 59771