What is the Greatest Common Factor of 70928 and 70946?

Greatest common factor (GCF) of 70928 and 70946 is 2.

GCF(70928,70946) = 2

We will now calculate the prime factors of 70928 and 70946, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70928 and 70946.

How to find the GCF of 70928 and 70946?

We will first find the prime factorization of 70928 and 70946. After we will calculate the factors of 70928 and 70946 and find the biggest common factor number .

Step-1: Prime Factorization of 70928

Prime factors of 70928 are 2, 11, 13, 31. Prime factorization of 70928 in exponential form is:

70928 = 2⁴ × 11¹ × 13¹ × 31¹

Step-2: Prime Factorization of 70946

Prime factors of 70946 are 2, 19, 1867. Prime factorization of 70946 in exponential form is:

70946 = 2¹ × 19¹ × 1867¹

Step-3: Factors of 70928

List of positive integer factors of 70928 that divides 70928 without a remainder.

1, 2, 4, 8, 11, 13, 16, 22, 26, 31, 44, 52, 62, 88, 104, 124, 143, 176, 208, 248, 286, 341, 403, 496, 572, 682, 806, 1144, 1364, 1612, 2288, 2728, 3224, 4433, 5456, 6448, 8866, 17732, 35464

Step-4: Factors of 70946

List of positive integer factors of 70946 that divides 70928 without a remainder.

1, 2, 19, 38, 1867, 3734, 35473

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70928 and 70946. The biggest common factor number is the GCF number.
So the greatest common factor 70928 and 70946 is 2.

Also check out the Least Common Multiple of 70928 and 70946