What is the Greatest Common Factor of 41202 and 41222?

Greatest common factor (GCF) of 41202 and 41222 is 2.

GCF(41202,41222) = 2

We will now calculate the prime factors of 41202 and 41222, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41202 and 41222.

How to find the GCF of 41202 and 41222?

We will first find the prime factorization of 41202 and 41222. After we will calculate the factors of 41202 and 41222 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 41222

Prime factors of 41222 are 2, 20611. Prime factorization of 41222 in exponential form is:

41222 = 2¹ × 20611¹

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 41222

List of positive integer factors of 41222 that divides 41202 without a remainder.

1, 2, 20611

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41202 and 41222. The biggest common factor number is the GCF number.
So the greatest common factor 41202 and 41222 is 2.

Also check out the Least Common Multiple of 41202 and 41222