What is the Greatest Common Factor of 76034 and 76052?

Greatest common factor (GCF) of 76034 and 76052 is 2.

GCF(76034,76052) = 2

We will now calculate the prime factors of 76034 and 76052, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76034 and 76052.

How to find the GCF of 76034 and 76052?

We will first find the prime factorization of 76034 and 76052. After we will calculate the factors of 76034 and 76052 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 76052

Prime factors of 76052 are 2, 19013. Prime factorization of 76052 in exponential form is:

76052 = 2² × 19013¹

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 76052

List of positive integer factors of 76052 that divides 76034 without a remainder.

1, 2, 4, 19013, 38026

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76034 and 76052. The biggest common factor number is the GCF number.
So the greatest common factor 76034 and 76052 is 2.

Also check out the Least Common Multiple of 76034 and 76052