What is the Greatest Common Factor of 79635 and 79650?

Greatest common factor (GCF) of 79635 and 79650 is 15.

GCF(79635,79650) = 15

We will now calculate the prime factors of 79635 and 79650, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79635 and 79650.

How to find the GCF of 79635 and 79650?

We will first find the prime factorization of 79635 and 79650. After we will calculate the factors of 79635 and 79650 and find the biggest common factor number .

Step-1: Prime Factorization of 79635

Prime factors of 79635 are 3, 5, 5309. Prime factorization of 79635 in exponential form is:

79635 = 3¹ × 5¹ × 5309¹

Step-2: Prime Factorization of 79650

Prime factors of 79650 are 2, 3, 5, 59. Prime factorization of 79650 in exponential form is:

79650 = 2¹ × 3³ × 5² × 59¹

Step-3: Factors of 79635

List of positive integer factors of 79635 that divides 79635 without a remainder.

1, 3, 5, 15, 5309, 15927, 26545

Step-4: Factors of 79650

List of positive integer factors of 79650 that divides 79635 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 59, 75, 90, 118, 135, 150, 177, 225, 270, 295, 354, 450, 531, 590, 675, 885, 1062, 1350, 1475, 1593, 1770, 2655, 2950, 3186, 4425, 5310, 7965, 8850, 13275, 15930, 26550, 39825

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79635 and 79650. The biggest common factor number is the GCF number.
So the greatest common factor 79635 and 79650 is 15.

Also check out the Least Common Multiple of 79635 and 79650