What is the Greatest Common Factor of 45240 and 45260?

Greatest common factor (GCF) of 45240 and 45260 is 20.

GCF(45240,45260) = 20

We will now calculate the prime factors of 45240 and 45260, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45240 and 45260.

How to find the GCF of 45240 and 45260?

We will first find the prime factorization of 45240 and 45260. After we will calculate the factors of 45240 and 45260 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 45260

Prime factors of 45260 are 2, 5, 31, 73. Prime factorization of 45260 in exponential form is:

45260 = 2² × 5¹ × 31¹ × 73¹

Step-3: Factors of 45240

List of positive integer factors of 45240 that divides 45240 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

Step-4: Factors of 45260

List of positive integer factors of 45260 that divides 45240 without a remainder.

1, 2, 4, 5, 10, 20, 31, 62, 73, 124, 146, 155, 292, 310, 365, 620, 730, 1460, 2263, 4526, 9052, 11315, 22630

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45240 and 45260. The biggest common factor number is the GCF number.
So the greatest common factor 45240 and 45260 is 20.

Also check out the Least Common Multiple of 45240 and 45260