What is the Greatest Common Factor of 45422 and 45435?

Greatest common factor (GCF) of 45422 and 45435 is 13.

GCF(45422,45435) = 13

We will now calculate the prime factors of 45422 and 45435, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45422 and 45435.

How to find the GCF of 45422 and 45435?

We will first find the prime factorization of 45422 and 45435. After we will calculate the factors of 45422 and 45435 and find the biggest common factor number .

Step-1: Prime Factorization of 45422

Prime factors of 45422 are 2, 13, 1747. Prime factorization of 45422 in exponential form is:

45422 = 2¹ × 13¹ × 1747¹

Step-2: Prime Factorization of 45435

Prime factors of 45435 are 3, 5, 13, 233. Prime factorization of 45435 in exponential form is:

45435 = 3¹ × 5¹ × 13¹ × 233¹

Step-3: Factors of 45422

List of positive integer factors of 45422 that divides 45422 without a remainder.

1, 2, 13, 26, 1747, 3494, 22711

Step-4: Factors of 45435

List of positive integer factors of 45435 that divides 45422 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195, 233, 699, 1165, 3029, 3495, 9087, 15145

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45422 and 45435. The biggest common factor number is the GCF number.
So the greatest common factor 45422 and 45435 is 13.

Also check out the Least Common Multiple of 45422 and 45435