What is the Greatest Common Factor of 78890 and 78897?

Greatest common factor (GCF) of 78890 and 78897 is 7.

GCF(78890,78897) = 7

We will now calculate the prime factors of 78890 and 78897, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78890 and 78897.

How to find the GCF of 78890 and 78897?

We will first find the prime factorization of 78890 and 78897. After we will calculate the factors of 78890 and 78897 and find the biggest common factor number .

Step-1: Prime Factorization of 78890

Prime factors of 78890 are 2, 5, 7, 23. Prime factorization of 78890 in exponential form is:

78890 = 2¹ × 5¹ × 7³ × 23¹

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 78890

List of positive integer factors of 78890 that divides 78890 without a remainder.

1, 2, 5, 7, 10, 14, 23, 35, 46, 49, 70, 98, 115, 161, 230, 245, 322, 343, 490, 686, 805, 1127, 1610, 1715, 2254, 3430, 5635, 7889, 11270, 15778, 39445

Step-4: Factors of 78897

List of positive integer factors of 78897 that divides 78890 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 78890 and 78897. The biggest common factor number is the GCF number.
So the greatest common factor 78890 and 78897 is 7.

Also check out the Least Common Multiple of 78890 and 78897