What is the Greatest Common Factor of 59758 and 59774?

Greatest common factor (GCF) of 59758 and 59774 is 2.

GCF(59758,59774) = 2

We will now calculate the prime factors of 59758 and 59774, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59758 and 59774.

How to find the GCF of 59758 and 59774?

We will first find the prime factorization of 59758 and 59774. After we will calculate the factors of 59758 and 59774 and find the biggest common factor number .

Step-1: Prime Factorization of 59758

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

59758 = 2¹ × 29879¹

Step-2: Prime Factorization of 59774

Prime factors of 59774 are 2, 11, 13, 19. Prime factorization of 59774 in exponential form is:

59774 = 2¹ × 11² × 13¹ × 19¹

Step-3: Factors of 59758

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

1, 2, 29879

Step-4: Factors of 59774

List of positive integer factors of 59774 that divides 59758 without a remainder.

1, 2, 11, 13, 19, 22, 26, 38, 121, 143, 209, 242, 247, 286, 418, 494, 1573, 2299, 2717, 3146, 4598, 5434, 29887

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59758 and 59774. The biggest common factor number is the GCF number.
So the greatest common factor 59758 and 59774 is 2.

Also check out the Least Common Multiple of 59758 and 59774