What is the Greatest Common Factor of 41202 and 41207?

Greatest common factor (GCF) of 41202 and 41207 is 1.

GCF(41202,41207) = 1

We will now calculate the prime factors of 41202 and 41207, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41202 and 41207.

How to find the GCF of 41202 and 41207?

We will first find the prime factorization of 41202 and 41207. After we will calculate the factors of 41202 and 41207 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 41207

Prime factors of 41207 are 89, 463. Prime factorization of 41207 in exponential form is:

41207 = 89¹ × 463¹

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 41207

List of positive integer factors of 41207 that divides 41202 without a remainder.

1, 89, 463

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41202 and 41207. The biggest common factor number is the GCF number.
So the greatest common factor 41202 and 41207 is 1.

Also check out the Least Common Multiple of 41202 and 41207