What is the Greatest Common Factor of 35245 and 35259?

Greatest common factor (GCF) of 35245 and 35259 is 7.

GCF(35245,35259) = 7

We will now calculate the prime factors of 35245 and 35259, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35245 and 35259.

How to find the GCF of 35245 and 35259?

We will first find the prime factorization of 35245 and 35259. After we will calculate the factors of 35245 and 35259 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 35259

Prime factors of 35259 are 3, 7, 23, 73. Prime factorization of 35259 in exponential form is:

35259 = 3¹ × 7¹ × 23¹ × 73¹

Step-3: Factors of 35245

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

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

Step-4: Factors of 35259

List of positive integer factors of 35259 that divides 35245 without a remainder.

1, 3, 7, 21, 23, 69, 73, 161, 219, 483, 511, 1533, 1679, 5037, 11753

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35245 and 35259. The biggest common factor number is the GCF number.
So the greatest common factor 35245 and 35259 is 7.

Also check out the Least Common Multiple of 35245 and 35259