What is the Greatest Common Factor of 59902 and 59912?

Greatest common factor (GCF) of 59902 and 59912 is 2.

GCF(59902,59912) = 2

We will now calculate the prime factors of 59902 and 59912, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59902 and 59912.

How to find the GCF of 59902 and 59912?

We will first find the prime factorization of 59902 and 59912. After we will calculate the factors of 59902 and 59912 and find the biggest common factor number .

Step-1: Prime Factorization of 59902

Prime factors of 59902 are 2, 61, 491. Prime factorization of 59902 in exponential form is:

59902 = 2¹ × 61¹ × 491¹

Step-2: Prime Factorization of 59912

Prime factors of 59912 are 2, 7489. Prime factorization of 59912 in exponential form is:

59912 = 2³ × 7489¹

Step-3: Factors of 59902

List of positive integer factors of 59902 that divides 59902 without a remainder.

1, 2, 61, 122, 491, 982, 29951

Step-4: Factors of 59912

List of positive integer factors of 59912 that divides 59902 without a remainder.

1, 2, 4, 8, 7489, 14978, 29956

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59902 and 59912. The biggest common factor number is the GCF number.
So the greatest common factor 59902 and 59912 is 2.

Also check out the Least Common Multiple of 59902 and 59912