What is the Greatest Common Factor of 35238 and 35245?

Greatest common factor (GCF) of 35238 and 35245 is 7.

GCF(35238,35245) = 7

We will now calculate the prime factors of 35238 and 35245, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35238 and 35245.

How to find the GCF of 35238 and 35245?

We will first find the prime factorization of 35238 and 35245. After we will calculate the factors of 35238 and 35245 and find the biggest common factor number .

Step-1: Prime Factorization of 35238

Prime factors of 35238 are 2, 3, 7, 839. Prime factorization of 35238 in exponential form is:

35238 = 2¹ × 3¹ × 7¹ × 839¹

Step-2: Prime Factorization of 35245

Prime factors of 35245 are 5, 7, 19, 53. Prime factorization of 35245 in exponential form is:

35245 = 5¹ × 7¹ × 19¹ × 53¹

Step-3: Factors of 35238

List of positive integer factors of 35238 that divides 35238 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 839, 1678, 2517, 5034, 5873, 11746, 17619

Step-4: Factors of 35245

List of positive integer factors of 35245 that divides 35238 without a remainder.

1, 5, 7, 19, 35, 53, 95, 133, 265, 371, 665, 1007, 1855, 5035, 7049

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35238 and 35245. The biggest common factor number is the GCF number.
So the greatest common factor 35238 and 35245 is 7.

Also check out the Least Common Multiple of 35238 and 35245