What is the Greatest Common Factor of 70906 and 70924?

Greatest common factor (GCF) of 70906 and 70924 is 2.

GCF(70906,70924) = 2

We will now calculate the prime factors of 70906 and 70924, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70906 and 70924.

How to find the GCF of 70906 and 70924?

We will first find the prime factorization of 70906 and 70924. After we will calculate the factors of 70906 and 70924 and find the biggest common factor number .

Step-1: Prime Factorization of 70906

Prime factors of 70906 are 2, 11, 293. Prime factorization of 70906 in exponential form is:

70906 = 2¹ × 11² × 293¹

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 70906

List of positive integer factors of 70906 that divides 70906 without a remainder.

1, 2, 11, 22, 121, 242, 293, 586, 3223, 6446, 35453

Step-4: Factors of 70924

List of positive integer factors of 70924 that divides 70906 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 70906 and 70924. The biggest common factor number is the GCF number.
So the greatest common factor 70906 and 70924 is 2.

Also check out the Least Common Multiple of 70906 and 70924