What is the Greatest Common Factor of 78645 and 78650?

Greatest common factor (GCF) of 78645 and 78650 is 5.

GCF(78645,78650) = 5

We will now calculate the prime factors of 78645 and 78650, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78645 and 78650.

How to find the GCF of 78645 and 78650?

We will first find the prime factorization of 78645 and 78650. After we will calculate the factors of 78645 and 78650 and find the biggest common factor number .

Step-1: Prime Factorization of 78645

Prime factors of 78645 are 3, 5, 7, 107. Prime factorization of 78645 in exponential form is:

78645 = 3¹ × 5¹ × 7² × 107¹

Step-2: Prime Factorization of 78650

Prime factors of 78650 are 2, 5, 11, 13. Prime factorization of 78650 in exponential form is:

78650 = 2¹ × 5² × 11² × 13¹

Step-3: Factors of 78645

List of positive integer factors of 78645 that divides 78645 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 107, 147, 245, 321, 535, 735, 749, 1605, 2247, 3745, 5243, 11235, 15729, 26215

Step-4: Factors of 78650

List of positive integer factors of 78650 that divides 78645 without a remainder.

1, 2, 5, 10, 11, 13, 22, 25, 26, 50, 55, 65, 110, 121, 130, 143, 242, 275, 286, 325, 550, 605, 650, 715, 1210, 1430, 1573, 3025, 3146, 3575, 6050, 7150, 7865, 15730, 39325

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78645 and 78650. The biggest common factor number is the GCF number.
So the greatest common factor 78645 and 78650 is 5.

Also check out the Least Common Multiple of 78645 and 78650