What is the Greatest Common Factor of 48034 and 48054?

Greatest common factor (GCF) of 48034 and 48054 is 2.

GCF(48034,48054) = 2

We will now calculate the prime factors of 48034 and 48054, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48034 and 48054.

How to find the GCF of 48034 and 48054?

We will first find the prime factorization of 48034 and 48054. After we will calculate the factors of 48034 and 48054 and find the biggest common factor number .

Step-1: Prime Factorization of 48034

Prime factors of 48034 are 2, 7, 47, 73. Prime factorization of 48034 in exponential form is:

48034 = 2¹ × 7¹ × 47¹ × 73¹

Step-2: Prime Factorization of 48054

Prime factors of 48054 are 2, 3, 8009. Prime factorization of 48054 in exponential form is:

48054 = 2¹ × 3¹ × 8009¹

Step-3: Factors of 48034

List of positive integer factors of 48034 that divides 48034 without a remainder.

1, 2, 7, 14, 47, 73, 94, 146, 329, 511, 658, 1022, 3431, 6862, 24017

Step-4: Factors of 48054

List of positive integer factors of 48054 that divides 48034 without a remainder.

1, 2, 3, 6, 8009, 16018, 24027

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48034 and 48054. The biggest common factor number is the GCF number.
So the greatest common factor 48034 and 48054 is 2.

Also check out the Least Common Multiple of 48034 and 48054