What is the Greatest Common Factor of 15442 and 15456?

Greatest common factor (GCF) of 15442 and 15456 is 14.

GCF(15442,15456) = 14

We will now calculate the prime factors of 15442 and 15456, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15442 and 15456.

How to find the GCF of 15442 and 15456?

We will first find the prime factorization of 15442 and 15456. After we will calculate the factors of 15442 and 15456 and find the biggest common factor number .

Step-1: Prime Factorization of 15442

Prime factors of 15442 are 2, 7, 1103. Prime factorization of 15442 in exponential form is:

15442 = 2¹ × 7¹ × 1103¹

Step-2: Prime Factorization of 15456

Prime factors of 15456 are 2, 3, 7, 23. Prime factorization of 15456 in exponential form is:

15456 = 2⁵ × 3¹ × 7¹ × 23¹

Step-3: Factors of 15442

List of positive integer factors of 15442 that divides 15442 without a remainder.

1, 2, 7, 14, 1103, 2206, 7721

Step-4: Factors of 15456

List of positive integer factors of 15456 that divides 15442 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 23, 24, 28, 32, 42, 46, 48, 56, 69, 84, 92, 96, 112, 138, 161, 168, 184, 224, 276, 322, 336, 368, 483, 552, 644, 672, 736, 966, 1104, 1288, 1932, 2208, 2576, 3864, 5152, 7728

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15442 and 15456. The biggest common factor number is the GCF number.
So the greatest common factor 15442 and 15456 is 14.

Also check out the Least Common Multiple of 15442 and 15456