What is the Greatest Common Factor of 45214 and 45234?

Greatest common factor (GCF) of 45214 and 45234 is 2.

GCF(45214,45234) = 2

We will now calculate the prime factors of 45214 and 45234, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45214 and 45234.

How to find the GCF of 45214 and 45234?

We will first find the prime factorization of 45214 and 45234. After we will calculate the factors of 45214 and 45234 and find the biggest common factor number .

Step-1: Prime Factorization of 45214

Prime factors of 45214 are 2, 13, 37, 47. Prime factorization of 45214 in exponential form is:

45214 = 2¹ × 13¹ × 37¹ × 47¹

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 45214

List of positive integer factors of 45214 that divides 45214 without a remainder.

1, 2, 13, 26, 37, 47, 74, 94, 481, 611, 962, 1222, 1739, 3478, 22607

Step-4: Factors of 45234

List of positive integer factors of 45234 that divides 45214 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 45214 and 45234. The biggest common factor number is the GCF number.
So the greatest common factor 45214 and 45234 is 2.

Also check out the Least Common Multiple of 45214 and 45234