What is the Greatest Common Factor of 35031 and 35040?

Greatest common factor (GCF) of 35031 and 35040 is 3.

GCF(35031,35040) = 3

We will now calculate the prime factors of 35031 and 35040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35031 and 35040.

How to find the GCF of 35031 and 35040?

We will first find the prime factorization of 35031 and 35040. After we will calculate the factors of 35031 and 35040 and find the biggest common factor number .

Step-1: Prime Factorization of 35031

Prime factors of 35031 are 3, 11677. Prime factorization of 35031 in exponential form is:

35031 = 3¹ × 11677¹

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 35031

List of positive integer factors of 35031 that divides 35031 without a remainder.

1, 3, 11677

Step-4: Factors of 35040

List of positive integer factors of 35040 that divides 35031 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 35031 and 35040. The biggest common factor number is the GCF number.
So the greatest common factor 35031 and 35040 is 3.

Also check out the Least Common Multiple of 35031 and 35040