What is the Greatest Common Factor of 71968 and 71987?

Greatest common factor (GCF) of 71968 and 71987 is 1.

GCF(71968,71987) = 1

We will now calculate the prime factors of 71968 and 71987, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71968 and 71987.

How to find the GCF of 71968 and 71987?

We will first find the prime factorization of 71968 and 71987. After we will calculate the factors of 71968 and 71987 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 71987

Prime factors of 71987 are 71987. Prime factorization of 71987 in exponential form is:

71987 = 71987¹

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 71987

List of positive integer factors of 71987 that divides 71968 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71968 and 71987. The biggest common factor number is the GCF number.
So the greatest common factor 71968 and 71987 is 1.

Also check out the Least Common Multiple of 71968 and 71987