What is the Greatest Common Factor of 71954 and 71972?

Greatest common factor (GCF) of 71954 and 71972 is 2.

GCF(71954,71972) = 2

We will now calculate the prime factors of 71954 and 71972, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71954 and 71972.

How to find the GCF of 71954 and 71972?

We will first find the prime factorization of 71954 and 71972. After we will calculate the factors of 71954 and 71972 and find the biggest common factor number .

Step-1: Prime Factorization of 71954

Prime factors of 71954 are 2, 35977. Prime factorization of 71954 in exponential form is:

71954 = 2¹ × 35977¹

Step-2: Prime Factorization of 71972

Prime factors of 71972 are 2, 19, 947. Prime factorization of 71972 in exponential form is:

71972 = 2² × 19¹ × 947¹

Step-3: Factors of 71954

List of positive integer factors of 71954 that divides 71954 without a remainder.

1, 2, 35977

Step-4: Factors of 71972

List of positive integer factors of 71972 that divides 71954 without a remainder.

1, 2, 4, 19, 38, 76, 947, 1894, 3788, 17993, 35986

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71954 and 71972. The biggest common factor number is the GCF number.
So the greatest common factor 71954 and 71972 is 2.

Also check out the Least Common Multiple of 71954 and 71972