What is the Greatest Common Factor of 1967 and 1971?

Greatest common factor (GCF) of 1967 and 1971 is 1.

GCF(1967,1971) = 1

We will now calculate the prime factors of 1967 and 1971, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1967 and 1971.

How to find the GCF of 1967 and 1971?

We will first find the prime factorization of 1967 and 1971. After we will calculate the factors of 1967 and 1971 and find the biggest common factor number .

Step-1: Prime Factorization of 1967

Prime factors of 1967 are 7, 281. Prime factorization of 1967 in exponential form is:

1967 = 7¹ × 281¹

Step-2: Prime Factorization of 1971

Prime factors of 1971 are 3, 73. Prime factorization of 1971 in exponential form is:

1971 = 3³ × 73¹

Step-3: Factors of 1967

List of positive integer factors of 1967 that divides 1967 without a remainder.

1, 7, 281

Step-4: Factors of 1971

List of positive integer factors of 1971 that divides 1967 without a remainder.

1, 3, 9, 27, 73, 219, 657

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1967 and 1971. The biggest common factor number is the GCF number.
So the greatest common factor 1967 and 1971 is 1.

Also check out the Least Common Multiple of 1967 and 1971