What is the Greatest Common Factor of 45070 and 45082?

Greatest common factor (GCF) of 45070 and 45082 is 2.

GCF(45070,45082) = 2

We will now calculate the prime factors of 45070 and 45082, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45070 and 45082.

How to find the GCF of 45070 and 45082?

We will first find the prime factorization of 45070 and 45082. After we will calculate the factors of 45070 and 45082 and find the biggest common factor number .

Step-1: Prime Factorization of 45070

Prime factors of 45070 are 2, 5, 4507. Prime factorization of 45070 in exponential form is:

45070 = 2¹ × 5¹ × 4507¹

Step-2: Prime Factorization of 45082

Prime factors of 45082 are 2, 22541. Prime factorization of 45082 in exponential form is:

45082 = 2¹ × 22541¹

Step-3: Factors of 45070

List of positive integer factors of 45070 that divides 45070 without a remainder.

1, 2, 5, 10, 4507, 9014, 22535

Step-4: Factors of 45082

List of positive integer factors of 45082 that divides 45070 without a remainder.

1, 2, 22541

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45070 and 45082. The biggest common factor number is the GCF number.
So the greatest common factor 45070 and 45082 is 2.

Also check out the Least Common Multiple of 45070 and 45082