What is the Greatest Common Factor of 78554 and 78562?

Greatest common factor (GCF) of 78554 and 78562 is 2.

GCF(78554,78562) = 2

We will now calculate the prime factors of 78554 and 78562, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78554 and 78562.

How to find the GCF of 78554 and 78562?

We will first find the prime factorization of 78554 and 78562. After we will calculate the factors of 78554 and 78562 and find the biggest common factor number .

Step-1: Prime Factorization of 78554

Prime factors of 78554 are 2, 7, 31, 181. Prime factorization of 78554 in exponential form is:

78554 = 2¹ × 7¹ × 31¹ × 181¹

Step-2: Prime Factorization of 78562

Prime factors of 78562 are 2, 11, 3571. Prime factorization of 78562 in exponential form is:

78562 = 2¹ × 11¹ × 3571¹

Step-3: Factors of 78554

List of positive integer factors of 78554 that divides 78554 without a remainder.

1, 2, 7, 14, 31, 62, 181, 217, 362, 434, 1267, 2534, 5611, 11222, 39277

Step-4: Factors of 78562

List of positive integer factors of 78562 that divides 78554 without a remainder.

1, 2, 11, 22, 3571, 7142, 39281

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78554 and 78562. The biggest common factor number is the GCF number.
So the greatest common factor 78554 and 78562 is 2.

Also check out the Least Common Multiple of 78554 and 78562