What is the Greatest Common Factor of 77298 and 77315?

Greatest common factor (GCF) of 77298 and 77315 is 1.

GCF(77298,77315) = 1

We will now calculate the prime factors of 77298 and 77315, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77298 and 77315.

How to find the GCF of 77298 and 77315?

We will first find the prime factorization of 77298 and 77315. After we will calculate the factors of 77298 and 77315 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 77315

Prime factors of 77315 are 5, 7, 47. Prime factorization of 77315 in exponential form is:

77315 = 5¹ × 7¹ × 47²

Step-3: Factors of 77298

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

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

Step-4: Factors of 77315

List of positive integer factors of 77315 that divides 77298 without a remainder.

1, 5, 7, 35, 47, 235, 329, 1645, 2209, 11045, 15463

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77298 and 77315. The biggest common factor number is the GCF number.
So the greatest common factor 77298 and 77315 is 1.

Also check out the Least Common Multiple of 77298 and 77315