What is the Greatest Common Factor of 59774 and 59788?

Greatest common factor (GCF) of 59774 and 59788 is 2.

GCF(59774,59788) = 2

We will now calculate the prime factors of 59774 and 59788, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59774 and 59788.

How to find the GCF of 59774 and 59788?

We will first find the prime factorization of 59774 and 59788. After we will calculate the factors of 59774 and 59788 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 59788

Prime factors of 59788 are 2, 14947. Prime factorization of 59788 in exponential form is:

59788 = 2² × 14947¹

Step-3: Factors of 59774

List of positive integer factors of 59774 that divides 59774 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

Step-4: Factors of 59788

List of positive integer factors of 59788 that divides 59774 without a remainder.

1, 2, 4, 14947, 29894

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59774 and 59788. The biggest common factor number is the GCF number.
So the greatest common factor 59774 and 59788 is 2.

Also check out the Least Common Multiple of 59774 and 59788