What is the Greatest Common Factor of 78892 and 78897?

Greatest common factor (GCF) of 78892 and 78897 is 1.

GCF(78892,78897) = 1

We will now calculate the prime factors of 78892 and 78897, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78892 and 78897.

How to find the GCF of 78892 and 78897?

We will first find the prime factorization of 78892 and 78897. After we will calculate the factors of 78892 and 78897 and find the biggest common factor number .

Step-1: Prime Factorization of 78892

Prime factors of 78892 are 2, 11, 163. Prime factorization of 78892 in exponential form is:

78892 = 2² × 11² × 163¹

Step-2: Prime Factorization of 78897

Prime factors of 78897 are 3, 7, 13, 17. Prime factorization of 78897 in exponential form is:

78897 = 3¹ × 7¹ × 13¹ × 17²

Step-3: Factors of 78892

List of positive integer factors of 78892 that divides 78892 without a remainder.

1, 2, 4, 11, 22, 44, 121, 163, 242, 326, 484, 652, 1793, 3586, 7172, 19723, 39446

Step-4: Factors of 78897

List of positive integer factors of 78897 that divides 78892 without a remainder.

1, 3, 7, 13, 17, 21, 39, 51, 91, 119, 221, 273, 289, 357, 663, 867, 1547, 2023, 3757, 4641, 6069, 11271, 26299

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78892 and 78897. The biggest common factor number is the GCF number.
So the greatest common factor 78892 and 78897 is 1.

Also check out the Least Common Multiple of 78892 and 78897