What is the Greatest Common Factor of 59749 and 59755?

Greatest common factor (GCF) of 59749 and 59755 is 1.

GCF(59749,59755) = 1

We will now calculate the prime factors of 59749 and 59755, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59749 and 59755.

How to find the GCF of 59749 and 59755?

We will first find the prime factorization of 59749 and 59755. After we will calculate the factors of 59749 and 59755 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 59755

Prime factors of 59755 are 5, 17, 19, 37. Prime factorization of 59755 in exponential form is:

59755 = 5¹ × 17¹ × 19¹ × 37¹

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 59755

List of positive integer factors of 59755 that divides 59749 without a remainder.

1, 5, 17, 19, 37, 85, 95, 185, 323, 629, 703, 1615, 3145, 3515, 11951

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59749 and 59755. The biggest common factor number is the GCF number.
So the greatest common factor 59749 and 59755 is 1.

Also check out the Least Common Multiple of 59749 and 59755