What is the Greatest Common Factor of 15414 and 15428?

Greatest common factor (GCF) of 15414 and 15428 is 14.

GCF(15414,15428) = 14

We will now calculate the prime factors of 15414 and 15428, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15414 and 15428.

How to find the GCF of 15414 and 15428?

We will first find the prime factorization of 15414 and 15428. After we will calculate the factors of 15414 and 15428 and find the biggest common factor number .

Step-1: Prime Factorization of 15414

Prime factors of 15414 are 2, 3, 7, 367. Prime factorization of 15414 in exponential form is:

15414 = 2¹ × 3¹ × 7¹ × 367¹

Step-2: Prime Factorization of 15428

Prime factors of 15428 are 2, 7, 19, 29. Prime factorization of 15428 in exponential form is:

15428 = 2² × 7¹ × 19¹ × 29¹

Step-3: Factors of 15414

List of positive integer factors of 15414 that divides 15414 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 367, 734, 1101, 2202, 2569, 5138, 7707

Step-4: Factors of 15428

List of positive integer factors of 15428 that divides 15414 without a remainder.

1, 2, 4, 7, 14, 19, 28, 29, 38, 58, 76, 116, 133, 203, 266, 406, 532, 551, 812, 1102, 2204, 3857, 7714

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15414 and 15428. The biggest common factor number is the GCF number.
So the greatest common factor 15414 and 15428 is 14.

Also check out the Least Common Multiple of 15414 and 15428