What is the Greatest Common Factor of 35010 and 35028?

Greatest common factor (GCF) of 35010 and 35028 is 18.

GCF(35010,35028) = 18

We will now calculate the prime factors of 35010 and 35028, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35010 and 35028.

How to find the GCF of 35010 and 35028?

We will first find the prime factorization of 35010 and 35028. After we will calculate the factors of 35010 and 35028 and find the biggest common factor number .

Step-1: Prime Factorization of 35010

Prime factors of 35010 are 2, 3, 5, 389. Prime factorization of 35010 in exponential form is:

35010 = 2¹ × 3² × 5¹ × 389¹

Step-2: 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-3: Factors of 35010

List of positive integer factors of 35010 that divides 35010 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 389, 778, 1167, 1945, 2334, 3501, 3890, 5835, 7002, 11670, 17505

Step-4: Factors of 35028

List of positive integer factors of 35028 that divides 35010 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35010 and 35028. The biggest common factor number is the GCF number.
So the greatest common factor 35010 and 35028 is 18.

Also check out the Least Common Multiple of 35010 and 35028