What is the Greatest Common Factor of 35245 and 35252?

Greatest common factor (GCF) of 35245 and 35252 is 7.

GCF(35245,35252) = 7

We will now calculate the prime factors of 35245 and 35252, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35245 and 35252.

How to find the GCF of 35245 and 35252?

We will first find the prime factorization of 35245 and 35252. After we will calculate the factors of 35245 and 35252 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 35252

Prime factors of 35252 are 2, 7, 1259. Prime factorization of 35252 in exponential form is:

35252 = 2² × 7¹ × 1259¹

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 35252

List of positive integer factors of 35252 that divides 35245 without a remainder.

1, 2, 4, 7, 14, 28, 1259, 2518, 5036, 8813, 17626

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35245 and 35252. The biggest common factor number is the GCF number.
So the greatest common factor 35245 and 35252 is 7.

Also check out the Least Common Multiple of 35245 and 35252