What is the Greatest Common Factor of 45022 and 45034?

Greatest common factor (GCF) of 45022 and 45034 is 2.

GCF(45022,45034) = 2

We will now calculate the prime factors of 45022 and 45034, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45022 and 45034.

How to find the GCF of 45022 and 45034?

We will first find the prime factorization of 45022 and 45034. After we will calculate the factors of 45022 and 45034 and find the biggest common factor number .

Step-1: Prime Factorization of 45022

Prime factors of 45022 are 2, 22511. Prime factorization of 45022 in exponential form is:

45022 = 2¹ × 22511¹

Step-2: Prime Factorization of 45034

Prime factors of 45034 are 2, 11, 23, 89. Prime factorization of 45034 in exponential form is:

45034 = 2¹ × 11¹ × 23¹ × 89¹

Step-3: Factors of 45022

List of positive integer factors of 45022 that divides 45022 without a remainder.

1, 2, 22511

Step-4: Factors of 45034

List of positive integer factors of 45034 that divides 45022 without a remainder.

1, 2, 11, 22, 23, 46, 89, 178, 253, 506, 979, 1958, 2047, 4094, 22517

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45022 and 45034. The biggest common factor number is the GCF number.
So the greatest common factor 45022 and 45034 is 2.

Also check out the Least Common Multiple of 45022 and 45034