What is the Greatest Common Factor of 45542 and 45562?

Greatest common factor (GCF) of 45542 and 45562 is 2.

GCF(45542,45562) = 2

We will now calculate the prime factors of 45542 and 45562, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45542 and 45562.

How to find the GCF of 45542 and 45562?

We will first find the prime factorization of 45542 and 45562. After we will calculate the factors of 45542 and 45562 and find the biggest common factor number .

Step-1: Prime Factorization of 45542

Prime factors of 45542 are 2, 7, 3253. Prime factorization of 45542 in exponential form is:

45542 = 2¹ × 7¹ × 3253¹

Step-2: Prime Factorization of 45562

Prime factors of 45562 are 2, 11, 19, 109. Prime factorization of 45562 in exponential form is:

45562 = 2¹ × 11¹ × 19¹ × 109¹

Step-3: Factors of 45542

List of positive integer factors of 45542 that divides 45542 without a remainder.

1, 2, 7, 14, 3253, 6506, 22771

Step-4: Factors of 45562

List of positive integer factors of 45562 that divides 45542 without a remainder.

1, 2, 11, 19, 22, 38, 109, 209, 218, 418, 1199, 2071, 2398, 4142, 22781

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45542 and 45562. The biggest common factor number is the GCF number.
So the greatest common factor 45542 and 45562 is 2.

Also check out the Least Common Multiple of 45542 and 45562