What is the Greatest Common Factor of 70956 and 70971?

Greatest common factor (GCF) of 70956 and 70971 is 3.

GCF(70956,70971) = 3

We will now calculate the prime factors of 70956 and 70971, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70956 and 70971.

How to find the GCF of 70956 and 70971?

We will first find the prime factorization of 70956 and 70971. After we will calculate the factors of 70956 and 70971 and find the biggest common factor number .

Step-1: Prime Factorization of 70956

Prime factors of 70956 are 2, 3, 73. Prime factorization of 70956 in exponential form is:

70956 = 2² × 3⁵ × 73¹

Step-2: Prime Factorization of 70971

Prime factors of 70971 are 3, 41, 577. Prime factorization of 70971 in exponential form is:

70971 = 3¹ × 41¹ × 577¹

Step-3: Factors of 70956

List of positive integer factors of 70956 that divides 70956 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 73, 81, 108, 146, 162, 219, 243, 292, 324, 438, 486, 657, 876, 972, 1314, 1971, 2628, 3942, 5913, 7884, 11826, 17739, 23652, 35478

Step-4: Factors of 70971

List of positive integer factors of 70971 that divides 70956 without a remainder.

1, 3, 41, 123, 577, 1731, 23657

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70956 and 70971. The biggest common factor number is the GCF number.
So the greatest common factor 70956 and 70971 is 3.

Also check out the Least Common Multiple of 70956 and 70971