What is the Greatest Common Factor of 77034 and 77041?

Greatest common factor (GCF) of 77034 and 77041 is 1.

GCF(77034,77041) = 1

We will now calculate the prime factors of 77034 and 77041, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77034 and 77041.

How to find the GCF of 77034 and 77041?

We will first find the prime factorization of 77034 and 77041. After we will calculate the factors of 77034 and 77041 and find the biggest common factor number .

Step-1: Prime Factorization of 77034

Prime factors of 77034 are 2, 3, 37, 347. Prime factorization of 77034 in exponential form is:

77034 = 2¹ × 3¹ × 37¹ × 347¹

Step-2: Prime Factorization of 77041

Prime factors of 77041 are 77041. Prime factorization of 77041 in exponential form is:

77041 = 77041¹

Step-3: Factors of 77034

List of positive integer factors of 77034 that divides 77034 without a remainder.

1, 2, 3, 6, 37, 74, 111, 222, 347, 694, 1041, 2082, 12839, 25678, 38517

Step-4: Factors of 77041

List of positive integer factors of 77041 that divides 77034 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77034 and 77041. The biggest common factor number is the GCF number.
So the greatest common factor 77034 and 77041 is 1.

Also check out the Least Common Multiple of 77034 and 77041