What is the Greatest Common Factor of 42245 and 42262?

Greatest common factor (GCF) of 42245 and 42262 is 17.

GCF(42245,42262) = 17

We will now calculate the prime factors of 42245 and 42262, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42245 and 42262.

How to find the GCF of 42245 and 42262?

We will first find the prime factorization of 42245 and 42262. After we will calculate the factors of 42245 and 42262 and find the biggest common factor number .

Step-1: Prime Factorization of 42245

Prime factors of 42245 are 5, 7, 17, 71. Prime factorization of 42245 in exponential form is:

42245 = 5¹ × 7¹ × 17¹ × 71¹

Step-2: Prime Factorization of 42262

Prime factors of 42262 are 2, 11, 17, 113. Prime factorization of 42262 in exponential form is:

42262 = 2¹ × 11¹ × 17¹ × 113¹

Step-3: Factors of 42245

List of positive integer factors of 42245 that divides 42245 without a remainder.

1, 5, 7, 17, 35, 71, 85, 119, 355, 497, 595, 1207, 2485, 6035, 8449

Step-4: Factors of 42262

List of positive integer factors of 42262 that divides 42245 without a remainder.

1, 2, 11, 17, 22, 34, 113, 187, 226, 374, 1243, 1921, 2486, 3842, 21131

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42245 and 42262. The biggest common factor number is the GCF number.
So the greatest common factor 42245 and 42262 is 17.

Also check out the Least Common Multiple of 42245 and 42262