What is the Greatest Common Factor of 45220 and 45234?

Greatest common factor (GCF) of 45220 and 45234 is 14.

GCF(45220,45234) = 14

We will now calculate the prime factors of 45220 and 45234, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45220 and 45234.

How to find the GCF of 45220 and 45234?

We will first find the prime factorization of 45220 and 45234. After we will calculate the factors of 45220 and 45234 and find the biggest common factor number .

Step-1: Prime Factorization of 45220

Prime factors of 45220 are 2, 5, 7, 17, 19. Prime factorization of 45220 in exponential form is:

45220 = 2² × 5¹ × 7¹ × 17¹ × 19¹

Step-2: Prime Factorization of 45234

Prime factors of 45234 are 2, 3, 7, 359. Prime factorization of 45234 in exponential form is:

45234 = 2¹ × 3² × 7¹ × 359¹

Step-3: Factors of 45220

List of positive integer factors of 45220 that divides 45220 without a remainder.

1, 2, 4, 5, 7, 10, 14, 17, 19, 20, 28, 34, 35, 38, 68, 70, 76, 85, 95, 119, 133, 140, 170, 190, 238, 266, 323, 340, 380, 476, 532, 595, 646, 665, 1190, 1292, 1330, 1615, 2261, 2380, 2660, 3230, 4522, 6460, 9044, 11305, 22610

Step-4: Factors of 45234

List of positive integer factors of 45234 that divides 45220 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 359, 718, 1077, 2154, 2513, 3231, 5026, 6462, 7539, 15078, 22617

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45220 and 45234. The biggest common factor number is the GCF number.
So the greatest common factor 45220 and 45234 is 14.

Also check out the Least Common Multiple of 45220 and 45234