What is the Greatest Common Factor of 76022 and 76034?

Greatest common factor (GCF) of 76022 and 76034 is 2.

GCF(76022,76034) = 2

We will now calculate the prime factors of 76022 and 76034, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76022 and 76034.

How to find the GCF of 76022 and 76034?

We will first find the prime factorization of 76022 and 76034. After we will calculate the factors of 76022 and 76034 and find the biggest common factor number .

Step-1: Prime Factorization of 76022

Prime factors of 76022 are 2, 38011. Prime factorization of 76022 in exponential form is:

76022 = 2¹ × 38011¹

Step-2: 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-3: Factors of 76022

List of positive integer factors of 76022 that divides 76022 without a remainder.

1, 2, 38011

Step-4: Factors of 76034

List of positive integer factors of 76034 that divides 76022 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76022 and 76034. The biggest common factor number is the GCF number.
So the greatest common factor 76022 and 76034 is 2.

Also check out the Least Common Multiple of 76022 and 76034