What is the Greatest Common Factor of 54152 and 54166?

Greatest common factor (GCF) of 54152 and 54166 is 14.

GCF(54152,54166) = 14

We will now calculate the prime factors of 54152 and 54166, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54152 and 54166.

How to find the GCF of 54152 and 54166?

We will first find the prime factorization of 54152 and 54166. After we will calculate the factors of 54152 and 54166 and find the biggest common factor number .

Step-1: Prime Factorization of 54152

Prime factors of 54152 are 2, 7, 967. Prime factorization of 54152 in exponential form is:

54152 = 2³ × 7¹ × 967¹

Step-2: Prime Factorization of 54166

Prime factors of 54166 are 2, 7, 53, 73. Prime factorization of 54166 in exponential form is:

54166 = 2¹ × 7¹ × 53¹ × 73¹

Step-3: Factors of 54152

List of positive integer factors of 54152 that divides 54152 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 967, 1934, 3868, 6769, 7736, 13538, 27076

Step-4: Factors of 54166

List of positive integer factors of 54166 that divides 54152 without a remainder.

1, 2, 7, 14, 53, 73, 106, 146, 371, 511, 742, 1022, 3869, 7738, 27083

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54152 and 54166. The biggest common factor number is the GCF number.
So the greatest common factor 54152 and 54166 is 14.

Also check out the Least Common Multiple of 54152 and 54166