What is the Greatest Common Factor of 50954 and 50972?

Greatest common factor (GCF) of 50954 and 50972 is 2.

GCF(50954,50972) = 2

We will now calculate the prime factors of 50954 and 50972, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50954 and 50972.

How to find the GCF of 50954 and 50972?

We will first find the prime factorization of 50954 and 50972. After we will calculate the factors of 50954 and 50972 and find the biggest common factor number .

Step-1: Prime Factorization of 50954

Prime factors of 50954 are 2, 73, 349. Prime factorization of 50954 in exponential form is:

50954 = 2¹ × 73¹ × 349¹

Step-2: Prime Factorization of 50972

Prime factors of 50972 are 2, 12743. Prime factorization of 50972 in exponential form is:

50972 = 2² × 12743¹

Step-3: Factors of 50954

List of positive integer factors of 50954 that divides 50954 without a remainder.

1, 2, 73, 146, 349, 698, 25477

Step-4: Factors of 50972

List of positive integer factors of 50972 that divides 50954 without a remainder.

1, 2, 4, 12743, 25486

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50954 and 50972. The biggest common factor number is the GCF number.
So the greatest common factor 50954 and 50972 is 2.

Also check out the Least Common Multiple of 50954 and 50972