What is the Greatest Common Factor of 45494 and 45506?

Greatest common factor (GCF) of 45494 and 45506 is 2.

GCF(45494,45506) = 2

We will now calculate the prime factors of 45494 and 45506, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45494 and 45506.

How to find the GCF of 45494 and 45506?

We will first find the prime factorization of 45494 and 45506. After we will calculate the factors of 45494 and 45506 and find the biggest common factor number .

Step-1: Prime Factorization of 45494

Prime factors of 45494 are 2, 23, 43. Prime factorization of 45494 in exponential form is:

45494 = 2¹ × 23² × 43¹

Step-2: Prime Factorization of 45506

Prime factors of 45506 are 2, 61, 373. Prime factorization of 45506 in exponential form is:

45506 = 2¹ × 61¹ × 373¹

Step-3: Factors of 45494

List of positive integer factors of 45494 that divides 45494 without a remainder.

1, 2, 23, 43, 46, 86, 529, 989, 1058, 1978, 22747

Step-4: Factors of 45506

List of positive integer factors of 45506 that divides 45494 without a remainder.

1, 2, 61, 122, 373, 746, 22753

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45494 and 45506. The biggest common factor number is the GCF number.
So the greatest common factor 45494 and 45506 is 2.

Also check out the Least Common Multiple of 45494 and 45506