What is the Greatest Common Factor of 45493 and 45506?

Greatest common factor (GCF) of 45493 and 45506 is 1.

GCF(45493,45506) = 1

We will now calculate the prime factors of 45493 and 45506, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45493 and 45506.

How to find the GCF of 45493 and 45506?

We will first find the prime factorization of 45493 and 45506. After we will calculate the factors of 45493 and 45506 and find the biggest common factor number .

Step-1: Prime Factorization of 45493

Prime factors of 45493 are 7, 67, 97. Prime factorization of 45493 in exponential form is:

45493 = 7¹ × 67¹ × 97¹

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 45493

List of positive integer factors of 45493 that divides 45493 without a remainder.

1, 7, 67, 97, 469, 679, 6499

Step-4: Factors of 45506

List of positive integer factors of 45506 that divides 45493 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45493 and 45506. The biggest common factor number is the GCF number.
So the greatest common factor 45493 and 45506 is 1.

Also check out the Least Common Multiple of 45493 and 45506