What is the Greatest Common Factor of 76034 and 76054?

Greatest common factor (GCF) of 76034 and 76054 is 2.

GCF(76034,76054) = 2

We will now calculate the prime factors of 76034 and 76054, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76034 and 76054.

How to find the GCF of 76034 and 76054?

We will first find the prime factorization of 76034 and 76054. After we will calculate the factors of 76034 and 76054 and find the biggest common factor number .

Step-1: Prime Factorization of 76034

Prime factors of 76034 are 2, 7, 5431. Prime factorization of 76034 in exponential form is:

76034 = 2¹ × 7¹ × 5431¹

Step-2: Prime Factorization of 76054

Prime factors of 76054 are 2, 11, 3457. Prime factorization of 76054 in exponential form is:

76054 = 2¹ × 11¹ × 3457¹

Step-3: Factors of 76034

List of positive integer factors of 76034 that divides 76034 without a remainder.

1, 2, 7, 14, 5431, 10862, 38017

Step-4: Factors of 76054

List of positive integer factors of 76054 that divides 76034 without a remainder.

1, 2, 11, 22, 3457, 6914, 38027

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76034 and 76054. The biggest common factor number is the GCF number.
So the greatest common factor 76034 and 76054 is 2.

Also check out the Least Common Multiple of 76034 and 76054