What is the Greatest Common Factor of 77066 and 77074?

Greatest common factor (GCF) of 77066 and 77074 is 2.

GCF(77066,77074) = 2

We will now calculate the prime factors of 77066 and 77074, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77066 and 77074.

How to find the GCF of 77066 and 77074?

We will first find the prime factorization of 77066 and 77074. After we will calculate the factors of 77066 and 77074 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 77074

Prime factors of 77074 are 2, 89, 433. Prime factorization of 77074 in exponential form is:

77074 = 2¹ × 89¹ × 433¹

Step-3: Factors of 77066

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

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

Step-4: Factors of 77074

List of positive integer factors of 77074 that divides 77066 without a remainder.

1, 2, 89, 178, 433, 866, 38537

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77066 and 77074. The biggest common factor number is the GCF number.
So the greatest common factor 77066 and 77074 is 2.

Also check out the Least Common Multiple of 77066 and 77074