What is the Greatest Common Factor of 71968 and 71978?

Greatest common factor (GCF) of 71968 and 71978 is 2.

GCF(71968,71978) = 2

We will now calculate the prime factors of 71968 and 71978, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71968 and 71978.

How to find the GCF of 71968 and 71978?

We will first find the prime factorization of 71968 and 71978. After we will calculate the factors of 71968 and 71978 and find the biggest common factor number .

Step-1: Prime Factorization of 71968

Prime factors of 71968 are 2, 13, 173. Prime factorization of 71968 in exponential form is:

71968 = 2⁵ × 13¹ × 173¹

Step-2: Prime Factorization of 71978

Prime factors of 71978 are 2, 17, 29, 73. Prime factorization of 71978 in exponential form is:

71978 = 2¹ × 17¹ × 29¹ × 73¹

Step-3: Factors of 71968

List of positive integer factors of 71968 that divides 71968 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 173, 208, 346, 416, 692, 1384, 2249, 2768, 4498, 5536, 8996, 17992, 35984

Step-4: Factors of 71978

List of positive integer factors of 71978 that divides 71968 without a remainder.

1, 2, 17, 29, 34, 58, 73, 146, 493, 986, 1241, 2117, 2482, 4234, 35989

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71968 and 71978. The biggest common factor number is the GCF number.
So the greatest common factor 71968 and 71978 is 2.

Also check out the Least Common Multiple of 71968 and 71978