What is the Greatest Common Factor of 35028 and 35040?

Greatest common factor (GCF) of 35028 and 35040 is 12.

GCF(35028,35040) = 12

We will now calculate the prime factors of 35028 and 35040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35028 and 35040.

How to find the GCF of 35028 and 35040?

We will first find the prime factorization of 35028 and 35040. After we will calculate the factors of 35028 and 35040 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 35040

Prime factors of 35040 are 2, 3, 5, 73. Prime factorization of 35040 in exponential form is:

35040 = 2⁵ × 3¹ × 5¹ × 73¹

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 35040

List of positive integer factors of 35040 that divides 35028 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 73, 80, 96, 120, 146, 160, 219, 240, 292, 365, 438, 480, 584, 730, 876, 1095, 1168, 1460, 1752, 2190, 2336, 2920, 3504, 4380, 5840, 7008, 8760, 11680, 17520

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35028 and 35040. The biggest common factor number is the GCF number.
So the greatest common factor 35028 and 35040 is 12.

Also check out the Least Common Multiple of 35028 and 35040