What is the Greatest Common Factor of 35028 and 35035?

Greatest common factor (GCF) of 35028 and 35035 is 7.

GCF(35028,35035) = 7

We will now calculate the prime factors of 35028 and 35035, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35028 and 35035.

How to find the GCF of 35028 and 35035?

We will first find the prime factorization of 35028 and 35035. After we will calculate the factors of 35028 and 35035 and find the biggest common factor number .

Step-1: Prime Factorization of 35028

Prime factors of 35028 are 2, 3, 7, 139. Prime factorization of 35028 in exponential form is:

35028 = 2² × 3² × 7¹ × 139¹

Step-2: Prime Factorization of 35035

Prime factors of 35035 are 5, 7, 11, 13. Prime factorization of 35035 in exponential form is:

35035 = 5¹ × 7² × 11¹ × 13¹

Step-3: Factors of 35028

List of positive integer factors of 35028 that divides 35028 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 139, 252, 278, 417, 556, 834, 973, 1251, 1668, 1946, 2502, 2919, 3892, 5004, 5838, 8757, 11676, 17514

Step-4: Factors of 35035

List of positive integer factors of 35035 that divides 35028 without a remainder.

1, 5, 7, 11, 13, 35, 49, 55, 65, 77, 91, 143, 245, 385, 455, 539, 637, 715, 1001, 2695, 3185, 5005, 7007

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35028 and 35035. The biggest common factor number is the GCF number.
So the greatest common factor 35028 and 35035 is 7.

Also check out the Least Common Multiple of 35028 and 35035