What is the Greatest Common Factor of 35040 and 35046?

Greatest common factor (GCF) of 35040 and 35046 is 6.

GCF(35040,35046) = 6

We will now calculate the prime factors of 35040 and 35046, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35040 and 35046.

How to find the GCF of 35040 and 35046?

We will first find the prime factorization of 35040 and 35046. After we will calculate the factors of 35040 and 35046 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 35046

Prime factors of 35046 are 2, 3, 11, 59. Prime factorization of 35046 in exponential form is:

35046 = 2¹ × 3³ × 11¹ × 59¹

Step-3: Factors of 35040

List of positive integer factors of 35040 that divides 35040 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

Step-4: Factors of 35046

List of positive integer factors of 35046 that divides 35040 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 59, 66, 99, 118, 177, 198, 297, 354, 531, 594, 649, 1062, 1298, 1593, 1947, 3186, 3894, 5841, 11682, 17523

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35040 and 35046. The biggest common factor number is the GCF number.
So the greatest common factor 35040 and 35046 is 6.

Also check out the Least Common Multiple of 35040 and 35046