What is the Greatest Common Factor of 70910 and 70928?

Greatest common factor (GCF) of 70910 and 70928 is 2.

GCF(70910,70928) = 2

We will now calculate the prime factors of 70910 and 70928, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70910 and 70928.

How to find the GCF of 70910 and 70928?

We will first find the prime factorization of 70910 and 70928. After we will calculate the factors of 70910 and 70928 and find the biggest common factor number .

Step-1: Prime Factorization of 70910

Prime factors of 70910 are 2, 5, 7, 1013. Prime factorization of 70910 in exponential form is:

70910 = 2¹ × 5¹ × 7¹ × 1013¹

Step-2: 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-3: Factors of 70910

List of positive integer factors of 70910 that divides 70910 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 1013, 2026, 5065, 7091, 10130, 14182, 35455

Step-4: Factors of 70928

List of positive integer factors of 70928 that divides 70910 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70910 and 70928. The biggest common factor number is the GCF number.
So the greatest common factor 70910 and 70928 is 2.

Also check out the Least Common Multiple of 70910 and 70928