What is the Greatest Common Factor of 42770 and 42784?

Greatest common factor (GCF) of 42770 and 42784 is 14.

GCF(42770,42784) = 14

We will now calculate the prime factors of 42770 and 42784, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42770 and 42784.

How to find the GCF of 42770 and 42784?

We will first find the prime factorization of 42770 and 42784. After we will calculate the factors of 42770 and 42784 and find the biggest common factor number .

Step-1: Prime Factorization of 42770

Prime factors of 42770 are 2, 5, 7, 13, 47. Prime factorization of 42770 in exponential form is:

42770 = 2¹ × 5¹ × 7¹ × 13¹ × 47¹

Step-2: Prime Factorization of 42784

Prime factors of 42784 are 2, 7, 191. Prime factorization of 42784 in exponential form is:

42784 = 2⁵ × 7¹ × 191¹

Step-3: Factors of 42770

List of positive integer factors of 42770 that divides 42770 without a remainder.

1, 2, 5, 7, 10, 13, 14, 26, 35, 47, 65, 70, 91, 94, 130, 182, 235, 329, 455, 470, 611, 658, 910, 1222, 1645, 3055, 3290, 4277, 6110, 8554, 21385

Step-4: Factors of 42784

List of positive integer factors of 42784 that divides 42770 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 191, 224, 382, 764, 1337, 1528, 2674, 3056, 5348, 6112, 10696, 21392

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42770 and 42784. The biggest common factor number is the GCF number.
So the greatest common factor 42770 and 42784 is 14.

Also check out the Least Common Multiple of 42770 and 42784