What is the Greatest Common Factor of 54950 and 54962?

Greatest common factor (GCF) of 54950 and 54962 is 2.

GCF(54950,54962) = 2

We will now calculate the prime factors of 54950 and 54962, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54950 and 54962.

How to find the GCF of 54950 and 54962?

We will first find the prime factorization of 54950 and 54962. After we will calculate the factors of 54950 and 54962 and find the biggest common factor number .

Step-1: Prime Factorization of 54950

Prime factors of 54950 are 2, 5, 7, 157. Prime factorization of 54950 in exponential form is:

54950 = 2¹ × 5² × 7¹ × 157¹

Step-2: Prime Factorization of 54962

Prime factors of 54962 are 2, 27481. Prime factorization of 54962 in exponential form is:

54962 = 2¹ × 27481¹

Step-3: Factors of 54950

List of positive integer factors of 54950 that divides 54950 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 157, 175, 314, 350, 785, 1099, 1570, 2198, 3925, 5495, 7850, 10990, 27475

Step-4: Factors of 54962

List of positive integer factors of 54962 that divides 54950 without a remainder.

1, 2, 27481

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54950 and 54962. The biggest common factor number is the GCF number.
So the greatest common factor 54950 and 54962 is 2.

Also check out the Least Common Multiple of 54950 and 54962