What is the Greatest Common Factor of 45475 and 45492?

Greatest common factor (GCF) of 45475 and 45492 is 17.

GCF(45475,45492) = 17

We will now calculate the prime factors of 45475 and 45492, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45475 and 45492.

How to find the GCF of 45475 and 45492?

We will first find the prime factorization of 45475 and 45492. After we will calculate the factors of 45475 and 45492 and find the biggest common factor number .

Step-1: Prime Factorization of 45475

Prime factors of 45475 are 5, 17, 107. Prime factorization of 45475 in exponential form is:

45475 = 5² × 17¹ × 107¹

Step-2: 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-3: Factors of 45475

List of positive integer factors of 45475 that divides 45475 without a remainder.

1, 5, 17, 25, 85, 107, 425, 535, 1819, 2675, 9095

Step-4: Factors of 45492

List of positive integer factors of 45492 that divides 45475 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45475 and 45492. The biggest common factor number is the GCF number.
So the greatest common factor 45475 and 45492 is 17.

Also check out the Least Common Multiple of 45475 and 45492