What is the Greatest Common Factor of 47538 and 47554?

Greatest common factor (GCF) of 47538 and 47554 is 2.

GCF(47538,47554) = 2

We will now calculate the prime factors of 47538 and 47554, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47538 and 47554.

How to find the GCF of 47538 and 47554?

We will first find the prime factorization of 47538 and 47554. After we will calculate the factors of 47538 and 47554 and find the biggest common factor number .

Step-1: Prime Factorization of 47538

Prime factors of 47538 are 2, 3, 19, 139. Prime factorization of 47538 in exponential form is:

47538 = 2¹ × 3² × 19¹ × 139¹

Step-2: Prime Factorization of 47554

Prime factors of 47554 are 2, 13, 31, 59. Prime factorization of 47554 in exponential form is:

47554 = 2¹ × 13¹ × 31¹ × 59¹

Step-3: Factors of 47538

List of positive integer factors of 47538 that divides 47538 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 139, 171, 278, 342, 417, 834, 1251, 2502, 2641, 5282, 7923, 15846, 23769

Step-4: Factors of 47554

List of positive integer factors of 47554 that divides 47538 without a remainder.

1, 2, 13, 26, 31, 59, 62, 118, 403, 767, 806, 1534, 1829, 3658, 23777

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47538 and 47554. The biggest common factor number is the GCF number.
So the greatest common factor 47538 and 47554 is 2.

Also check out the Least Common Multiple of 47538 and 47554