What is the Greatest Common Factor of 77024 and 77034?

Greatest common factor (GCF) of 77024 and 77034 is 2.

GCF(77024,77034) = 2

We will now calculate the prime factors of 77024 and 77034, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77024 and 77034.

How to find the GCF of 77024 and 77034?

We will first find the prime factorization of 77024 and 77034. After we will calculate the factors of 77024 and 77034 and find the biggest common factor number .

Step-1: Prime Factorization of 77024

Prime factors of 77024 are 2, 29, 83. Prime factorization of 77024 in exponential form is:

77024 = 2⁵ × 29¹ × 83¹

Step-2: 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-3: Factors of 77024

List of positive integer factors of 77024 that divides 77024 without a remainder.

1, 2, 4, 8, 16, 29, 32, 58, 83, 116, 166, 232, 332, 464, 664, 928, 1328, 2407, 2656, 4814, 9628, 19256, 38512

Step-4: Factors of 77034

List of positive integer factors of 77034 that divides 77024 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77024 and 77034. The biggest common factor number is the GCF number.
So the greatest common factor 77024 and 77034 is 2.

Also check out the Least Common Multiple of 77024 and 77034