What is the Greatest Common Factor of 35040 and 35053?

Greatest common factor (GCF) of 35040 and 35053 is 1.

GCF(35040,35053) = 1

We will now calculate the prime factors of 35040 and 35053, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35040 and 35053.

How to find the GCF of 35040 and 35053?

We will first find the prime factorization of 35040 and 35053. After we will calculate the factors of 35040 and 35053 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 35053

Prime factors of 35053 are 35053. Prime factorization of 35053 in exponential form is:

35053 = 35053¹

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 35053

List of positive integer factors of 35053 that divides 35040 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35040 and 35053. The biggest common factor number is the GCF number.
So the greatest common factor 35040 and 35053 is 1.

Also check out the Least Common Multiple of 35040 and 35053