What is the Greatest Common Factor of 45426 and 45435?

Greatest common factor (GCF) of 45426 and 45435 is 3.

GCF(45426,45435) = 3

We will now calculate the prime factors of 45426 and 45435, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45426 and 45435.

How to find the GCF of 45426 and 45435?

We will first find the prime factorization of 45426 and 45435. After we will calculate the factors of 45426 and 45435 and find the biggest common factor number .

Step-1: Prime Factorization of 45426

Prime factors of 45426 are 2, 3, 67, 113. Prime factorization of 45426 in exponential form is:

45426 = 2¹ × 3¹ × 67¹ × 113¹

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 45426

List of positive integer factors of 45426 that divides 45426 without a remainder.

1, 2, 3, 6, 67, 113, 134, 201, 226, 339, 402, 678, 7571, 15142, 22713

Step-4: Factors of 45435

List of positive integer factors of 45435 that divides 45426 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 45426 and 45435. The biggest common factor number is the GCF number.
So the greatest common factor 45426 and 45435 is 3.

Also check out the Least Common Multiple of 45426 and 45435