What is the Greatest Common Factor of 76142 and 76153?

Greatest common factor (GCF) of 76142 and 76153 is 11.

GCF(76142,76153) = 11

We will now calculate the prime factors of 76142 and 76153, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76142 and 76153.

How to find the GCF of 76142 and 76153?

We will first find the prime factorization of 76142 and 76153. After we will calculate the factors of 76142 and 76153 and find the biggest common factor number .

Step-1: Prime Factorization of 76142

Prime factors of 76142 are 2, 11, 3461. Prime factorization of 76142 in exponential form is:

76142 = 2¹ × 11¹ × 3461¹

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 76142

List of positive integer factors of 76142 that divides 76142 without a remainder.

1, 2, 11, 22, 3461, 6922, 38071

Step-4: Factors of 76153

List of positive integer factors of 76153 that divides 76142 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 76142 and 76153. The biggest common factor number is the GCF number.
So the greatest common factor 76142 and 76153 is 11.

Also check out the Least Common Multiple of 76142 and 76153