What is the Greatest Common Factor of 70856 and 70876?

Greatest common factor (GCF) of 70856 and 70876 is 4.

GCF(70856,70876) = 4

We will now calculate the prime factors of 70856 and 70876, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70856 and 70876.

How to find the GCF of 70856 and 70876?

We will first find the prime factorization of 70856 and 70876. After we will calculate the factors of 70856 and 70876 and find the biggest common factor number .

Step-1: Prime Factorization of 70856

Prime factors of 70856 are 2, 17, 521. Prime factorization of 70856 in exponential form is:

70856 = 2³ × 17¹ × 521¹

Step-2: Prime Factorization of 70876

Prime factors of 70876 are 2, 13, 29, 47. Prime factorization of 70876 in exponential form is:

70876 = 2² × 13¹ × 29¹ × 47¹

Step-3: Factors of 70856

List of positive integer factors of 70856 that divides 70856 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136, 521, 1042, 2084, 4168, 8857, 17714, 35428

Step-4: Factors of 70876

List of positive integer factors of 70876 that divides 70856 without a remainder.

1, 2, 4, 13, 26, 29, 47, 52, 58, 94, 116, 188, 377, 611, 754, 1222, 1363, 1508, 2444, 2726, 5452, 17719, 35438

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70856 and 70876. The biggest common factor number is the GCF number.
So the greatest common factor 70856 and 70876 is 4.

Also check out the Least Common Multiple of 70856 and 70876