What is the Greatest Common Factor of 15536 and 15554?

Greatest common factor (GCF) of 15536 and 15554 is 2.

GCF(15536,15554) = 2

We will now calculate the prime factors of 15536 and 15554, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15536 and 15554.

How to find the GCF of 15536 and 15554?

We will first find the prime factorization of 15536 and 15554. After we will calculate the factors of 15536 and 15554 and find the biggest common factor number .

Step-1: Prime Factorization of 15536

Prime factors of 15536 are 2, 971. Prime factorization of 15536 in exponential form is:

15536 = 2⁴ × 971¹

Step-2: Prime Factorization of 15554

Prime factors of 15554 are 2, 7, 11, 101. Prime factorization of 15554 in exponential form is:

15554 = 2¹ × 7¹ × 11¹ × 101¹

Step-3: Factors of 15536

List of positive integer factors of 15536 that divides 15536 without a remainder.

1, 2, 4, 8, 16, 971, 1942, 3884, 7768

Step-4: Factors of 15554

List of positive integer factors of 15554 that divides 15536 without a remainder.

1, 2, 7, 11, 14, 22, 77, 101, 154, 202, 707, 1111, 1414, 2222, 7777

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15536 and 15554. The biggest common factor number is the GCF number.
So the greatest common factor 15536 and 15554 is 2.

Also check out the Least Common Multiple of 15536 and 15554