What is the Greatest Common Factor of 45008 and 45019?

Greatest common factor (GCF) of 45008 and 45019 is 1.

GCF(45008,45019) = 1

We will now calculate the prime factors of 45008 and 45019, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45008 and 45019.

How to find the GCF of 45008 and 45019?

We will first find the prime factorization of 45008 and 45019. After we will calculate the factors of 45008 and 45019 and find the biggest common factor number .

Step-1: Prime Factorization of 45008

Prime factors of 45008 are 2, 29, 97. Prime factorization of 45008 in exponential form is:

45008 = 2⁴ × 29¹ × 97¹

Step-2: Prime Factorization of 45019

Prime factors of 45019 are 13, 3463. Prime factorization of 45019 in exponential form is:

45019 = 13¹ × 3463¹

Step-3: Factors of 45008

List of positive integer factors of 45008 that divides 45008 without a remainder.

1, 2, 4, 8, 16, 29, 58, 97, 116, 194, 232, 388, 464, 776, 1552, 2813, 5626, 11252, 22504

Step-4: Factors of 45019

List of positive integer factors of 45019 that divides 45008 without a remainder.

1, 13, 3463

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45008 and 45019. The biggest common factor number is the GCF number.
So the greatest common factor 45008 and 45019 is 1.

Also check out the Least Common Multiple of 45008 and 45019