What is the Greatest Common Factor of 42185 and 42198?

Greatest common factor (GCF) of 42185 and 42198 is 13.

GCF(42185,42198) = 13

We will now calculate the prime factors of 42185 and 42198, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42185 and 42198.

How to find the GCF of 42185 and 42198?

We will first find the prime factorization of 42185 and 42198. After we will calculate the factors of 42185 and 42198 and find the biggest common factor number .

Step-1: Prime Factorization of 42185

Prime factors of 42185 are 5, 11, 13, 59. Prime factorization of 42185 in exponential form is:

42185 = 5¹ × 11¹ × 13¹ × 59¹

Step-2: Prime Factorization of 42198

Prime factors of 42198 are 2, 3, 13, 541. Prime factorization of 42198 in exponential form is:

42198 = 2¹ × 3¹ × 13¹ × 541¹

Step-3: Factors of 42185

List of positive integer factors of 42185 that divides 42185 without a remainder.

1, 5, 11, 13, 55, 59, 65, 143, 295, 649, 715, 767, 3245, 3835, 8437

Step-4: Factors of 42198

List of positive integer factors of 42198 that divides 42185 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 541, 1082, 1623, 3246, 7033, 14066, 21099

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42185 and 42198. The biggest common factor number is the GCF number.
So the greatest common factor 42185 and 42198 is 13.

Also check out the Least Common Multiple of 42185 and 42198