What is the Greatest Common Factor of 77034 and 77046?

Greatest common factor (GCF) of 77034 and 77046 is 6.

GCF(77034,77046) = 6

We will now calculate the prime factors of 77034 and 77046, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77034 and 77046.

How to find the GCF of 77034 and 77046?

We will first find the prime factorization of 77034 and 77046. After we will calculate the factors of 77034 and 77046 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 77046

Prime factors of 77046 are 2, 3, 12841. Prime factorization of 77046 in exponential form is:

77046 = 2¹ × 3¹ × 12841¹

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 77046

List of positive integer factors of 77046 that divides 77034 without a remainder.

1, 2, 3, 6, 12841, 25682, 38523

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77034 and 77046. The biggest common factor number is the GCF number.
So the greatest common factor 77034 and 77046 is 6.

Also check out the Least Common Multiple of 77034 and 77046