What is the Greatest Common Factor of 45656 and 45669?

Greatest common factor (GCF) of 45656 and 45669 is 13.

GCF(45656,45669) = 13

We will now calculate the prime factors of 45656 and 45669, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45656 and 45669.

How to find the GCF of 45656 and 45669?

We will first find the prime factorization of 45656 and 45669. After we will calculate the factors of 45656 and 45669 and find the biggest common factor number .

Step-1: Prime Factorization of 45656

Prime factors of 45656 are 2, 13, 439. Prime factorization of 45656 in exponential form is:

45656 = 2³ × 13¹ × 439¹

Step-2: Prime Factorization of 45669

Prime factors of 45669 are 3, 13, 1171. Prime factorization of 45669 in exponential form is:

45669 = 3¹ × 13¹ × 1171¹

Step-3: Factors of 45656

List of positive integer factors of 45656 that divides 45656 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 439, 878, 1756, 3512, 5707, 11414, 22828

Step-4: Factors of 45669

List of positive integer factors of 45669 that divides 45656 without a remainder.

1, 3, 13, 39, 1171, 3513, 15223

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45656 and 45669. The biggest common factor number is the GCF number.
So the greatest common factor 45656 and 45669 is 13.

Also check out the Least Common Multiple of 45656 and 45669