What is the Greatest Common Factor of 45535 and 45542?

Greatest common factor (GCF) of 45535 and 45542 is 7.

GCF(45535,45542) = 7

We will now calculate the prime factors of 45535 and 45542, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45535 and 45542.

How to find the GCF of 45535 and 45542?

We will first find the prime factorization of 45535 and 45542. After we will calculate the factors of 45535 and 45542 and find the biggest common factor number .

Step-1: Prime Factorization of 45535

Prime factors of 45535 are 5, 7, 1301. Prime factorization of 45535 in exponential form is:

45535 = 5¹ × 7¹ × 1301¹

Step-2: 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-3: Factors of 45535

List of positive integer factors of 45535 that divides 45535 without a remainder.

1, 5, 7, 35, 1301, 6505, 9107

Step-4: Factors of 45542

List of positive integer factors of 45542 that divides 45535 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45535 and 45542. The biggest common factor number is the GCF number.
So the greatest common factor 45535 and 45542 is 7.

Also check out the Least Common Multiple of 45535 and 45542