What is the Greatest Common Factor of 70440 and 70455?

Greatest common factor (GCF) of 70440 and 70455 is 15.

GCF(70440,70455) = 15

We will now calculate the prime factors of 70440 and 70455, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70440 and 70455.

How to find the GCF of 70440 and 70455?

We will first find the prime factorization of 70440 and 70455. After we will calculate the factors of 70440 and 70455 and find the biggest common factor number .

Step-1: Prime Factorization of 70440

Prime factors of 70440 are 2, 3, 5, 587. Prime factorization of 70440 in exponential form is:

70440 = 2³ × 3¹ × 5¹ × 587¹

Step-2: Prime Factorization of 70455

Prime factors of 70455 are 3, 5, 7, 11, 61. Prime factorization of 70455 in exponential form is:

70455 = 3¹ × 5¹ × 7¹ × 11¹ × 61¹

Step-3: Factors of 70440

List of positive integer factors of 70440 that divides 70440 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 587, 1174, 1761, 2348, 2935, 3522, 4696, 5870, 7044, 8805, 11740, 14088, 17610, 23480, 35220

Step-4: Factors of 70455

List of positive integer factors of 70455 that divides 70440 without a remainder.

1, 3, 5, 7, 11, 15, 21, 33, 35, 55, 61, 77, 105, 165, 183, 231, 305, 385, 427, 671, 915, 1155, 1281, 2013, 2135, 3355, 4697, 6405, 10065, 14091, 23485

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70440 and 70455. The biggest common factor number is the GCF number.
So the greatest common factor 70440 and 70455 is 15.

Also check out the Least Common Multiple of 70440 and 70455