What is the Greatest Common Factor of 80297 and 80304?

Greatest common factor (GCF) of 80297 and 80304 is 7.

GCF(80297,80304) = 7

We will now calculate the prime factors of 80297 and 80304, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80297 and 80304.

How to find the GCF of 80297 and 80304?

We will first find the prime factorization of 80297 and 80304. After we will calculate the factors of 80297 and 80304 and find the biggest common factor number .

Step-1: Prime Factorization of 80297

Prime factors of 80297 are 7, 11471. Prime factorization of 80297 in exponential form is:

80297 = 7¹ × 11471¹

Step-2: Prime Factorization of 80304

Prime factors of 80304 are 2, 3, 7, 239. Prime factorization of 80304 in exponential form is:

80304 = 2⁴ × 3¹ × 7¹ × 239¹

Step-3: Factors of 80297

List of positive integer factors of 80297 that divides 80297 without a remainder.

1, 7, 11471

Step-4: Factors of 80304

List of positive integer factors of 80304 that divides 80297 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 239, 336, 478, 717, 956, 1434, 1673, 1912, 2868, 3346, 3824, 5019, 5736, 6692, 10038, 11472, 13384, 20076, 26768, 40152

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80297 and 80304. The biggest common factor number is the GCF number.
So the greatest common factor 80297 and 80304 is 7.

Also check out the Least Common Multiple of 80297 and 80304