What is the Greatest Common Factor of 45494 and 45507?

Greatest common factor (GCF) of 45494 and 45507 is 1.

GCF(45494,45507) = 1

We will now calculate the prime factors of 45494 and 45507, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45494 and 45507.

How to find the GCF of 45494 and 45507?

We will first find the prime factorization of 45494 and 45507. After we will calculate the factors of 45494 and 45507 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 45507

Prime factors of 45507 are 3, 7, 11, 197. Prime factorization of 45507 in exponential form is:

45507 = 3¹ × 7¹ × 11¹ × 197¹

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 45507

List of positive integer factors of 45507 that divides 45494 without a remainder.

1, 3, 7, 11, 21, 33, 77, 197, 231, 591, 1379, 2167, 4137, 6501, 15169

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45494 and 45507. The biggest common factor number is the GCF number.
So the greatest common factor 45494 and 45507 is 1.

Also check out the Least Common Multiple of 45494 and 45507