What is the Greatest Common Factor of 45227 and 45240?

Greatest common factor (GCF) of 45227 and 45240 is 13.

GCF(45227,45240) = 13

We will now calculate the prime factors of 45227 and 45240, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45227 and 45240.

How to find the GCF of 45227 and 45240?

We will first find the prime factorization of 45227 and 45240. After we will calculate the factors of 45227 and 45240 and find the biggest common factor number .

Step-1: Prime Factorization of 45227

Prime factors of 45227 are 7, 13, 71. Prime factorization of 45227 in exponential form is:

45227 = 7² × 13¹ × 71¹

Step-2: Prime Factorization of 45240

Prime factors of 45240 are 2, 3, 5, 13, 29. Prime factorization of 45240 in exponential form is:

45240 = 2³ × 3¹ × 5¹ × 13¹ × 29¹

Step-3: Factors of 45227

List of positive integer factors of 45227 that divides 45227 without a remainder.

1, 7, 13, 49, 71, 91, 497, 637, 923, 3479, 6461

Step-4: Factors of 45240

List of positive integer factors of 45240 that divides 45227 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 20, 24, 26, 29, 30, 39, 40, 52, 58, 60, 65, 78, 87, 104, 116, 120, 130, 145, 156, 174, 195, 232, 260, 290, 312, 348, 377, 390, 435, 520, 580, 696, 754, 780, 870, 1131, 1160, 1508, 1560, 1740, 1885, 2262, 3016, 3480, 3770, 4524, 5655, 7540, 9048, 11310, 15080, 22620

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45227 and 45240. The biggest common factor number is the GCF number.
So the greatest common factor 45227 and 45240 is 13.

Also check out the Least Common Multiple of 45227 and 45240