What is the Greatest Common Factor of 45029 and 45040?

Greatest common factor (GCF) of 45029 and 45040 is 1.

GCF(45029,45040) = 1

We will now calculate the prime factors of 45029 and 45040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45029 and 45040.

How to find the GCF of 45029 and 45040?

We will first find the prime factorization of 45029 and 45040. After we will calculate the factors of 45029 and 45040 and find the biggest common factor number .

Step-1: Prime Factorization of 45029

Prime factors of 45029 are 37, 1217. Prime factorization of 45029 in exponential form is:

45029 = 37¹ × 1217¹

Step-2: Prime Factorization of 45040

Prime factors of 45040 are 2, 5, 563. Prime factorization of 45040 in exponential form is:

45040 = 2⁴ × 5¹ × 563¹

Step-3: Factors of 45029

List of positive integer factors of 45029 that divides 45029 without a remainder.

1, 37, 1217

Step-4: Factors of 45040

List of positive integer factors of 45040 that divides 45029 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 563, 1126, 2252, 2815, 4504, 5630, 9008, 11260, 22520

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45029 and 45040. The biggest common factor number is the GCF number.
So the greatest common factor 45029 and 45040 is 1.

Also check out the Least Common Multiple of 45029 and 45040