What is the Greatest Common Factor of 70440 and 70444?

Greatest common factor (GCF) of 70440 and 70444 is 4.

GCF(70440,70444) = 4

We will now calculate the prime factors of 70440 and 70444, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70440 and 70444.

How to find the GCF of 70440 and 70444?

We will first find the prime factorization of 70440 and 70444. After we will calculate the factors of 70440 and 70444 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 70444

Prime factors of 70444 are 2, 11, 1601. Prime factorization of 70444 in exponential form is:

70444 = 2² × 11¹ × 1601¹

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 70444

List of positive integer factors of 70444 that divides 70440 without a remainder.

1, 2, 4, 11, 22, 44, 1601, 3202, 6404, 17611, 35222

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70440 and 70444. The biggest common factor number is the GCF number.
So the greatest common factor 70440 and 70444 is 4.

Also check out the Least Common Multiple of 70440 and 70444