What is the Greatest Common Factor of 59749 and 59763?

Greatest common factor (GCF) of 59749 and 59763 is 1.

GCF(59749,59763) = 1

We will now calculate the prime factors of 59749 and 59763, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59749 and 59763.

How to find the GCF of 59749 and 59763?

We will first find the prime factorization of 59749 and 59763. After we will calculate the factors of 59749 and 59763 and find the biggest common factor number .

Step-1: Prime Factorization of 59749

Prime factors of 59749 are 149, 401. Prime factorization of 59749 in exponential form is:

59749 = 149¹ × 401¹

Step-2: Prime Factorization of 59763

Prime factors of 59763 are 3, 11, 1811. Prime factorization of 59763 in exponential form is:

59763 = 3¹ × 11¹ × 1811¹

Step-3: Factors of 59749

List of positive integer factors of 59749 that divides 59749 without a remainder.

1, 149, 401

Step-4: Factors of 59763

List of positive integer factors of 59763 that divides 59749 without a remainder.

1, 3, 11, 33, 1811, 5433, 19921

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59749 and 59763. The biggest common factor number is the GCF number.
So the greatest common factor 59749 and 59763 is 1.

Also check out the Least Common Multiple of 59749 and 59763