What is the Greatest Common Factor of 70924 and 70936?

Greatest common factor (GCF) of 70924 and 70936 is 4.

GCF(70924,70936) = 4

We will now calculate the prime factors of 70924 and 70936, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70924 and 70936.

How to find the GCF of 70924 and 70936?

We will first find the prime factorization of 70924 and 70936. After we will calculate the factors of 70924 and 70936 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 70936

Prime factors of 70936 are 2, 8867. Prime factorization of 70936 in exponential form is:

70936 = 2³ × 8867¹

Step-3: Factors of 70924

List of positive integer factors of 70924 that divides 70924 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

Step-4: Factors of 70936

List of positive integer factors of 70936 that divides 70924 without a remainder.

1, 2, 4, 8, 8867, 17734, 35468

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70924 and 70936. The biggest common factor number is the GCF number.
So the greatest common factor 70924 and 70936 is 4.

Also check out the Least Common Multiple of 70924 and 70936