What is the Greatest Common Factor of 78420 and 78435?

Greatest common factor (GCF) of 78420 and 78435 is 15.

GCF(78420,78435) = 15

We will now calculate the prime factors of 78420 and 78435, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78420 and 78435.

How to find the GCF of 78420 and 78435?

We will first find the prime factorization of 78420 and 78435. After we will calculate the factors of 78420 and 78435 and find the biggest common factor number .

Step-1: Prime Factorization of 78420

Prime factors of 78420 are 2, 3, 5, 1307. Prime factorization of 78420 in exponential form is:

78420 = 2² × 3¹ × 5¹ × 1307¹

Step-2: Prime Factorization of 78435

Prime factors of 78435 are 3, 5, 7, 83. Prime factorization of 78435 in exponential form is:

78435 = 3³ × 5¹ × 7¹ × 83¹

Step-3: Factors of 78420

List of positive integer factors of 78420 that divides 78420 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1307, 2614, 3921, 5228, 6535, 7842, 13070, 15684, 19605, 26140, 39210

Step-4: Factors of 78435

List of positive integer factors of 78435 that divides 78420 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 83, 105, 135, 189, 249, 315, 415, 581, 747, 945, 1245, 1743, 2241, 2905, 3735, 5229, 8715, 11205, 15687, 26145

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78420 and 78435. The biggest common factor number is the GCF number.
So the greatest common factor 78420 and 78435 is 15.

Also check out the Least Common Multiple of 78420 and 78435