What is the Greatest Common Factor of 77182 and 77194?

Greatest common factor (GCF) of 77182 and 77194 is 2.

GCF(77182,77194) = 2

We will now calculate the prime factors of 77182 and 77194, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77182 and 77194.

How to find the GCF of 77182 and 77194?

We will first find the prime factorization of 77182 and 77194. After we will calculate the factors of 77182 and 77194 and find the biggest common factor number .

Step-1: Prime Factorization of 77182

Prime factors of 77182 are 2, 7, 37, 149. Prime factorization of 77182 in exponential form is:

77182 = 2¹ × 7¹ × 37¹ × 149¹

Step-2: Prime Factorization of 77194

Prime factors of 77194 are 2, 13, 2969. Prime factorization of 77194 in exponential form is:

77194 = 2¹ × 13¹ × 2969¹

Step-3: Factors of 77182

List of positive integer factors of 77182 that divides 77182 without a remainder.

1, 2, 7, 14, 37, 74, 149, 259, 298, 518, 1043, 2086, 5513, 11026, 38591

Step-4: Factors of 77194

List of positive integer factors of 77194 that divides 77182 without a remainder.

1, 2, 13, 26, 2969, 5938, 38597

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77182 and 77194. The biggest common factor number is the GCF number.
So the greatest common factor 77182 and 77194 is 2.

Also check out the Least Common Multiple of 77182 and 77194