What is the Greatest Common Factor of 70770 and 70784?

Greatest common factor (GCF) of 70770 and 70784 is 14.

GCF(70770,70784) = 14

We will now calculate the prime factors of 70770 and 70784, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70770 and 70784.

How to find the GCF of 70770 and 70784?

We will first find the prime factorization of 70770 and 70784. After we will calculate the factors of 70770 and 70784 and find the biggest common factor number .

Step-1: Prime Factorization of 70770

Prime factors of 70770 are 2, 3, 5, 7, 337. Prime factorization of 70770 in exponential form is:

70770 = 2¹ × 3¹ × 5¹ × 7¹ × 337¹

Step-2: Prime Factorization of 70784

Prime factors of 70784 are 2, 7, 79. Prime factorization of 70784 in exponential form is:

70784 = 2⁷ × 7¹ × 79¹

Step-3: Factors of 70770

List of positive integer factors of 70770 that divides 70770 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210, 337, 674, 1011, 1685, 2022, 2359, 3370, 4718, 5055, 7077, 10110, 11795, 14154, 23590, 35385

Step-4: Factors of 70784

List of positive integer factors of 70784 that divides 70770 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 79, 112, 128, 158, 224, 316, 448, 553, 632, 896, 1106, 1264, 2212, 2528, 4424, 5056, 8848, 10112, 17696, 35392

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70770 and 70784. The biggest common factor number is the GCF number.
So the greatest common factor 70770 and 70784 is 14.

Also check out the Least Common Multiple of 70770 and 70784