What is the Greatest Common Factor of 75152 and 75167?

Greatest common factor (GCF) of 75152 and 75167 is 1.

GCF(75152,75167) = 1

We will now calculate the prime factors of 75152 and 75167, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75152 and 75167.

How to find the GCF of 75152 and 75167?

We will first find the prime factorization of 75152 and 75167. After we will calculate the factors of 75152 and 75167 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 75167

Prime factors of 75167 are 75167. Prime factorization of 75167 in exponential form is:

75167 = 75167¹

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 75167

List of positive integer factors of 75167 that divides 75152 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75152 and 75167. The biggest common factor number is the GCF number.
So the greatest common factor 75152 and 75167 is 1.

Also check out the Least Common Multiple of 75152 and 75167