What is the Greatest Common Factor of 70910 and 70924?

Greatest common factor (GCF) of 70910 and 70924 is 14.

GCF(70910,70924) = 14

We will now calculate the prime factors of 70910 and 70924, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70910 and 70924.

How to find the GCF of 70910 and 70924?

We will first find the prime factorization of 70910 and 70924. After we will calculate the factors of 70910 and 70924 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 70924

Prime factors of 70924 are 2, 7, 17, 149. Prime factorization of 70924 in exponential form is:

70924 = 2² × 7¹ × 17¹ × 149¹

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 70924

List of positive integer factors of 70924 that divides 70910 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 149, 238, 298, 476, 596, 1043, 2086, 2533, 4172, 5066, 10132, 17731, 35462

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70910 and 70924. The biggest common factor number is the GCF number.
So the greatest common factor 70910 and 70924 is 14.

Also check out the Least Common Multiple of 70910 and 70924