What is the Greatest Common Factor of 41202 and 41209?

Greatest common factor (GCF) of 41202 and 41209 is 7.

GCF(41202,41209) = 7

We will now calculate the prime factors of 41202 and 41209, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41202 and 41209.

How to find the GCF of 41202 and 41209?

We will first find the prime factorization of 41202 and 41209. After we will calculate the factors of 41202 and 41209 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 41209

Prime factors of 41209 are 7, 29. Prime factorization of 41209 in exponential form is:

41209 = 7² × 29²

Step-3: Factors of 41202

List of positive integer factors of 41202 that divides 41202 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

Step-4: Factors of 41209

List of positive integer factors of 41209 that divides 41202 without a remainder.

1, 7, 29, 49, 203, 841, 1421, 5887

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41202 and 41209. The biggest common factor number is the GCF number.
So the greatest common factor 41202 and 41209 is 7.

Also check out the Least Common Multiple of 41202 and 41209