What is the Greatest Common Factor of 76139 and 76153?

Greatest common factor (GCF) of 76139 and 76153 is 7.

GCF(76139,76153) = 7

We will now calculate the prime factors of 76139 and 76153, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76139 and 76153.

How to find the GCF of 76139 and 76153?

We will first find the prime factorization of 76139 and 76153. After we will calculate the factors of 76139 and 76153 and find the biggest common factor number .

Step-1: Prime Factorization of 76139

Prime factors of 76139 are 7, 73, 149. Prime factorization of 76139 in exponential form is:

76139 = 7¹ × 73¹ × 149¹

Step-2: Prime Factorization of 76153

Prime factors of 76153 are 7, 11, 23, 43. Prime factorization of 76153 in exponential form is:

76153 = 7¹ × 11¹ × 23¹ × 43¹

Step-3: Factors of 76139

List of positive integer factors of 76139 that divides 76139 without a remainder.

1, 7, 73, 149, 511, 1043, 10877

Step-4: Factors of 76153

List of positive integer factors of 76153 that divides 76139 without a remainder.

1, 7, 11, 23, 43, 77, 161, 253, 301, 473, 989, 1771, 3311, 6923, 10879

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76139 and 76153. The biggest common factor number is the GCF number.
So the greatest common factor 76139 and 76153 is 7.

Also check out the Least Common Multiple of 76139 and 76153