What is the Greatest Common Factor of 77043 and 77058?

Greatest common factor (GCF) of 77043 and 77058 is 3.

GCF(77043,77058) = 3

We will now calculate the prime factors of 77043 and 77058, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77043 and 77058.

How to find the GCF of 77043 and 77058?

We will first find the prime factorization of 77043 and 77058. After we will calculate the factors of 77043 and 77058 and find the biggest common factor number .

Step-1: Prime Factorization of 77043

Prime factors of 77043 are 3, 61, 421. Prime factorization of 77043 in exponential form is:

77043 = 3¹ × 61¹ × 421¹

Step-2: Prime Factorization of 77058

Prime factors of 77058 are 2, 3, 1427. Prime factorization of 77058 in exponential form is:

77058 = 2¹ × 3³ × 1427¹

Step-3: Factors of 77043

List of positive integer factors of 77043 that divides 77043 without a remainder.

1, 3, 61, 183, 421, 1263, 25681

Step-4: Factors of 77058

List of positive integer factors of 77058 that divides 77043 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 1427, 2854, 4281, 8562, 12843, 25686, 38529

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77043 and 77058. The biggest common factor number is the GCF number.
So the greatest common factor 77043 and 77058 is 3.

Also check out the Least Common Multiple of 77043 and 77058