What is the Greatest Common Factor of 77058 and 77066?

Greatest common factor (GCF) of 77058 and 77066 is 2.

GCF(77058,77066) = 2

We will now calculate the prime factors of 77058 and 77066, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77058 and 77066.

How to find the GCF of 77058 and 77066?

We will first find the prime factorization of 77058 and 77066. After we will calculate the factors of 77058 and 77066 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 77066

Prime factors of 77066 are 2, 11, 31, 113. Prime factorization of 77066 in exponential form is:

77066 = 2¹ × 11¹ × 31¹ × 113¹

Step-3: Factors of 77058

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

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

Step-4: Factors of 77066

List of positive integer factors of 77066 that divides 77058 without a remainder.

1, 2, 11, 22, 31, 62, 113, 226, 341, 682, 1243, 2486, 3503, 7006, 38533

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77058 and 77066. The biggest common factor number is the GCF number.
So the greatest common factor 77058 and 77066 is 2.

Also check out the Least Common Multiple of 77058 and 77066