What is the Greatest Common Factor of 77285 and 77298?

Greatest common factor (GCF) of 77285 and 77298 is 13.

GCF(77285,77298) = 13

We will now calculate the prime factors of 77285 and 77298, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77285 and 77298.

How to find the GCF of 77285 and 77298?

We will first find the prime factorization of 77285 and 77298. After we will calculate the factors of 77285 and 77298 and find the biggest common factor number .

Step-1: Prime Factorization of 77285

Prime factors of 77285 are 5, 13, 29, 41. Prime factorization of 77285 in exponential form is:

77285 = 5¹ × 13¹ × 29¹ × 41¹

Step-2: Prime Factorization of 77298

Prime factors of 77298 are 2, 3, 13, 991. Prime factorization of 77298 in exponential form is:

77298 = 2¹ × 3¹ × 13¹ × 991¹

Step-3: Factors of 77285

List of positive integer factors of 77285 that divides 77285 without a remainder.

1, 5, 13, 29, 41, 65, 145, 205, 377, 533, 1189, 1885, 2665, 5945, 15457

Step-4: Factors of 77298

List of positive integer factors of 77298 that divides 77285 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 991, 1982, 2973, 5946, 12883, 25766, 38649

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77285 and 77298. The biggest common factor number is the GCF number.
So the greatest common factor 77285 and 77298 is 13.

Also check out the Least Common Multiple of 77285 and 77298