What is the Greatest Common Factor of 59740 and 59749?

Greatest common factor (GCF) of 59740 and 59749 is 1.

GCF(59740,59749) = 1

We will now calculate the prime factors of 59740 and 59749, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59740 and 59749.

How to find the GCF of 59740 and 59749?

We will first find the prime factorization of 59740 and 59749. After we will calculate the factors of 59740 and 59749 and find the biggest common factor number .

Step-1: Prime Factorization of 59740

Prime factors of 59740 are 2, 5, 29, 103. Prime factorization of 59740 in exponential form is:

59740 = 2² × 5¹ × 29¹ × 103¹

Step-2: Prime Factorization of 59749

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

59749 = 149¹ × 401¹

Step-3: Factors of 59740

List of positive integer factors of 59740 that divides 59740 without a remainder.

1, 2, 4, 5, 10, 20, 29, 58, 103, 116, 145, 206, 290, 412, 515, 580, 1030, 2060, 2987, 5974, 11948, 14935, 29870

Step-4: Factors of 59749

List of positive integer factors of 59749 that divides 59740 without a remainder.

1, 149, 401

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59740 and 59749. The biggest common factor number is the GCF number.
So the greatest common factor 59740 and 59749 is 1.

Also check out the Least Common Multiple of 59740 and 59749