What is the Greatest Common Factor of 35020 and 35028?

Greatest common factor (GCF) of 35020 and 35028 is 4.

GCF(35020,35028) = 4

We will now calculate the prime factors of 35020 and 35028, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35020 and 35028.

How to find the GCF of 35020 and 35028?

We will first find the prime factorization of 35020 and 35028. After we will calculate the factors of 35020 and 35028 and find the biggest common factor number .

Step-1: Prime Factorization of 35020

Prime factors of 35020 are 2, 5, 17, 103. Prime factorization of 35020 in exponential form is:

35020 = 2² × 5¹ × 17¹ × 103¹

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 35020

List of positive integer factors of 35020 that divides 35020 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 103, 170, 206, 340, 412, 515, 1030, 1751, 2060, 3502, 7004, 8755, 17510

Step-4: Factors of 35028

List of positive integer factors of 35028 that divides 35020 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 35020 and 35028. The biggest common factor number is the GCF number.
So the greatest common factor 35020 and 35028 is 4.

Also check out the Least Common Multiple of 35020 and 35028