What is the Greatest Common Factor of 45492 and 45509?

Greatest common factor (GCF) of 45492 and 45509 is 17.

GCF(45492,45509) = 17

We will now calculate the prime factors of 45492 and 45509, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45492 and 45509.

How to find the GCF of 45492 and 45509?

We will first find the prime factorization of 45492 and 45509. After we will calculate the factors of 45492 and 45509 and find the biggest common factor number .

Step-1: Prime Factorization of 45492

Prime factors of 45492 are 2, 3, 17, 223. Prime factorization of 45492 in exponential form is:

45492 = 2² × 3¹ × 17¹ × 223¹

Step-2: Prime Factorization of 45509

Prime factors of 45509 are 17, 2677. Prime factorization of 45509 in exponential form is:

45509 = 17¹ × 2677¹

Step-3: Factors of 45492

List of positive integer factors of 45492 that divides 45492 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204, 223, 446, 669, 892, 1338, 2676, 3791, 7582, 11373, 15164, 22746

Step-4: Factors of 45509

List of positive integer factors of 45509 that divides 45492 without a remainder.

1, 17, 2677

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45492 and 45509. The biggest common factor number is the GCF number.
So the greatest common factor 45492 and 45509 is 17.

Also check out the Least Common Multiple of 45492 and 45509