What is the Greatest Common Factor of 77286 and 77290?

Greatest common factor (GCF) of 77286 and 77290 is 2.

GCF(77286,77290) = 2

We will now calculate the prime factors of 77286 and 77290, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77286 and 77290.

How to find the GCF of 77286 and 77290?

We will first find the prime factorization of 77286 and 77290. After we will calculate the factors of 77286 and 77290 and find the biggest common factor number .

Step-1: Prime Factorization of 77286

Prime factors of 77286 are 2, 3, 11, 1171. Prime factorization of 77286 in exponential form is:

77286 = 2¹ × 3¹ × 11¹ × 1171¹

Step-2: Prime Factorization of 77290

Prime factors of 77290 are 2, 5, 59, 131. Prime factorization of 77290 in exponential form is:

77290 = 2¹ × 5¹ × 59¹ × 131¹

Step-3: Factors of 77286

List of positive integer factors of 77286 that divides 77286 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 1171, 2342, 3513, 7026, 12881, 25762, 38643

Step-4: Factors of 77290

List of positive integer factors of 77290 that divides 77286 without a remainder.

1, 2, 5, 10, 59, 118, 131, 262, 295, 590, 655, 1310, 7729, 15458, 38645

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77286 and 77290. The biggest common factor number is the GCF number.
So the greatest common factor 77286 and 77290 is 2.

Also check out the Least Common Multiple of 77286 and 77290