What is the Greatest Common Factor of 41188 and 41202?

Greatest common factor (GCF) of 41188 and 41202 is 14.

GCF(41188,41202) = 14

We will now calculate the prime factors of 41188 and 41202, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41188 and 41202.

How to find the GCF of 41188 and 41202?

We will first find the prime factorization of 41188 and 41202. After we will calculate the factors of 41188 and 41202 and find the biggest common factor number .

Step-1: Prime Factorization of 41188

Prime factors of 41188 are 2, 7, 1471. Prime factorization of 41188 in exponential form is:

41188 = 2² × 7¹ × 1471¹

Step-2: Prime Factorization of 41202

Prime factors of 41202 are 2, 3, 7, 109. Prime factorization of 41202 in exponential form is:

41202 = 2¹ × 3³ × 7¹ × 109¹

Step-3: Factors of 41188

List of positive integer factors of 41188 that divides 41188 without a remainder.

1, 2, 4, 7, 14, 28, 1471, 2942, 5884, 10297, 20594

Step-4: Factors of 41202

List of positive integer factors of 41202 that divides 41188 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 109, 126, 189, 218, 327, 378, 654, 763, 981, 1526, 1962, 2289, 2943, 4578, 5886, 6867, 13734, 20601

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41188 and 41202. The biggest common factor number is the GCF number.
So the greatest common factor 41188 and 41202 is 14.

Also check out the Least Common Multiple of 41188 and 41202