What is the Greatest Common Factor of 59198 and 59202?

Greatest common factor (GCF) of 59198 and 59202 is 2.

GCF(59198,59202) = 2

We will now calculate the prime factors of 59198 and 59202, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59198 and 59202.

How to find the GCF of 59198 and 59202?

We will first find the prime factorization of 59198 and 59202. After we will calculate the factors of 59198 and 59202 and find the biggest common factor number .

Step-1: Prime Factorization of 59198

Prime factors of 59198 are 2, 29599. Prime factorization of 59198 in exponential form is:

59198 = 2¹ × 29599¹

Step-2: Prime Factorization of 59202

Prime factors of 59202 are 2, 3, 11, 13, 23. Prime factorization of 59202 in exponential form is:

59202 = 2¹ × 3² × 11¹ × 13¹ × 23¹

Step-3: Factors of 59198

List of positive integer factors of 59198 that divides 59198 without a remainder.

1, 2, 29599

Step-4: Factors of 59202

List of positive integer factors of 59202 that divides 59198 without a remainder.

1, 2, 3, 6, 9, 11, 13, 18, 22, 23, 26, 33, 39, 46, 66, 69, 78, 99, 117, 138, 143, 198, 207, 234, 253, 286, 299, 414, 429, 506, 598, 759, 858, 897, 1287, 1518, 1794, 2277, 2574, 2691, 3289, 4554, 5382, 6578, 9867, 19734, 29601

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59198 and 59202. The biggest common factor number is the GCF number.
So the greatest common factor 59198 and 59202 is 2.

Also check out the Least Common Multiple of 59198 and 59202