What is the Greatest Common Factor of 45546 and 45560?

Greatest common factor (GCF) of 45546 and 45560 is 2.

GCF(45546,45560) = 2

We will now calculate the prime factors of 45546 and 45560, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45546 and 45560.

How to find the GCF of 45546 and 45560?

We will first find the prime factorization of 45546 and 45560. After we will calculate the factors of 45546 and 45560 and find the biggest common factor number .

Step-1: Prime Factorization of 45546

Prime factors of 45546 are 2, 3, 7591. Prime factorization of 45546 in exponential form is:

45546 = 2¹ × 3¹ × 7591¹

Step-2: Prime Factorization of 45560

Prime factors of 45560 are 2, 5, 17, 67. Prime factorization of 45560 in exponential form is:

45560 = 2³ × 5¹ × 17¹ × 67¹

Step-3: Factors of 45546

List of positive integer factors of 45546 that divides 45546 without a remainder.

1, 2, 3, 6, 7591, 15182, 22773

Step-4: Factors of 45560

List of positive integer factors of 45560 that divides 45546 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 67, 68, 85, 134, 136, 170, 268, 335, 340, 536, 670, 680, 1139, 1340, 2278, 2680, 4556, 5695, 9112, 11390, 22780

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45546 and 45560. The biggest common factor number is the GCF number.
So the greatest common factor 45546 and 45560 is 2.

Also check out the Least Common Multiple of 45546 and 45560