What is the Greatest Common Factor of 35040 and 35047?

Greatest common factor (GCF) of 35040 and 35047 is 1.

GCF(35040,35047) = 1

We will now calculate the prime factors of 35040 and 35047, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35040 and 35047.

How to find the GCF of 35040 and 35047?

We will first find the prime factorization of 35040 and 35047. After we will calculate the factors of 35040 and 35047 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 35047

Prime factors of 35047 are 101, 347. Prime factorization of 35047 in exponential form is:

35047 = 101¹ × 347¹

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 35047

List of positive integer factors of 35047 that divides 35040 without a remainder.

1, 101, 347

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35040 and 35047. The biggest common factor number is the GCF number.
So the greatest common factor 35040 and 35047 is 1.

Also check out the Least Common Multiple of 35040 and 35047