What is the Greatest Common Factor of 75152 and 75163?

Greatest common factor (GCF) of 75152 and 75163 is 11.

GCF(75152,75163) = 11

We will now calculate the prime factors of 75152 and 75163, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75152 and 75163.

How to find the GCF of 75152 and 75163?

We will first find the prime factorization of 75152 and 75163. After we will calculate the factors of 75152 and 75163 and find the biggest common factor number .

Step-1: Prime Factorization of 75152

Prime factors of 75152 are 2, 7, 11, 61. Prime factorization of 75152 in exponential form is:

75152 = 2⁴ × 7¹ × 11¹ × 61¹

Step-2: Prime Factorization of 75163

Prime factors of 75163 are 11, 6833. Prime factorization of 75163 in exponential form is:

75163 = 11¹ × 6833¹

Step-3: Factors of 75152

List of positive integer factors of 75152 that divides 75152 without a remainder.

1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 44, 56, 61, 77, 88, 112, 122, 154, 176, 244, 308, 427, 488, 616, 671, 854, 976, 1232, 1342, 1708, 2684, 3416, 4697, 5368, 6832, 9394, 10736, 18788, 37576

Step-4: Factors of 75163

List of positive integer factors of 75163 that divides 75152 without a remainder.

1, 11, 6833

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75152 and 75163. The biggest common factor number is the GCF number.
So the greatest common factor 75152 and 75163 is 11.

Also check out the Least Common Multiple of 75152 and 75163