What is the Greatest Common Factor of 59740 and 59758?

Greatest common factor (GCF) of 59740 and 59758 is 2.

GCF(59740,59758) = 2

We will now calculate the prime factors of 59740 and 59758, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59740 and 59758.

How to find the GCF of 59740 and 59758?

We will first find the prime factorization of 59740 and 59758. After we will calculate the factors of 59740 and 59758 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 59758

Prime factors of 59758 are 2, 29879. Prime factorization of 59758 in exponential form is:

59758 = 2¹ × 29879¹

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 59758

List of positive integer factors of 59758 that divides 59740 without a remainder.

1, 2, 29879

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59740 and 59758. The biggest common factor number is the GCF number.
So the greatest common factor 59740 and 59758 is 2.

Also check out the Least Common Multiple of 59740 and 59758