What is the Greatest Common Factor of 78600 and 78617?

Greatest common factor (GCF) of 78600 and 78617 is 1.

GCF(78600,78617) = 1

We will now calculate the prime factors of 78600 and 78617, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78600 and 78617.

How to find the GCF of 78600 and 78617?

We will first find the prime factorization of 78600 and 78617. After we will calculate the factors of 78600 and 78617 and find the biggest common factor number .

Step-1: Prime Factorization of 78600

Prime factors of 78600 are 2, 3, 5, 131. Prime factorization of 78600 in exponential form is:

78600 = 2³ × 3¹ × 5² × 131¹

Step-2: Prime Factorization of 78617

Prime factors of 78617 are 7, 11, 1021. Prime factorization of 78617 in exponential form is:

78617 = 7¹ × 11¹ × 1021¹

Step-3: Factors of 78600

List of positive integer factors of 78600 that divides 78600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 131, 150, 200, 262, 300, 393, 524, 600, 655, 786, 1048, 1310, 1572, 1965, 2620, 3144, 3275, 3930, 5240, 6550, 7860, 9825, 13100, 15720, 19650, 26200, 39300

Step-4: Factors of 78617

List of positive integer factors of 78617 that divides 78600 without a remainder.

1, 7, 11, 77, 1021, 7147, 11231

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78600 and 78617. The biggest common factor number is the GCF number.
So the greatest common factor 78600 and 78617 is 1.

Also check out the Least Common Multiple of 78600 and 78617