What is the Greatest Common Factor of 59906 and 59926?

Greatest common factor (GCF) of 59906 and 59926 is 2.

GCF(59906,59926) = 2

We will now calculate the prime factors of 59906 and 59926, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59906 and 59926.

How to find the GCF of 59906 and 59926?

We will first find the prime factorization of 59906 and 59926. After we will calculate the factors of 59906 and 59926 and find the biggest common factor number .

Step-1: Prime Factorization of 59906

Prime factors of 59906 are 2, 7, 11, 389. Prime factorization of 59906 in exponential form is:

59906 = 2¹ × 7¹ × 11¹ × 389¹

Step-2: Prime Factorization of 59926

Prime factors of 59926 are 2, 19, 83. Prime factorization of 59926 in exponential form is:

59926 = 2¹ × 19² × 83¹

Step-3: Factors of 59906

List of positive integer factors of 59906 that divides 59906 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154, 389, 778, 2723, 4279, 5446, 8558, 29953

Step-4: Factors of 59926

List of positive integer factors of 59926 that divides 59906 without a remainder.

1, 2, 19, 38, 83, 166, 361, 722, 1577, 3154, 29963

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59906 and 59926. The biggest common factor number is the GCF number.
So the greatest common factor 59906 and 59926 is 2.

Also check out the Least Common Multiple of 59906 and 59926