What is the Greatest Common Factor of 62950 and 62954?

Greatest common factor (GCF) of 62950 and 62954 is 2.

GCF(62950,62954) = 2

We will now calculate the prime factors of 62950 and 62954, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62950 and 62954.

How to find the GCF of 62950 and 62954?

We will first find the prime factorization of 62950 and 62954. After we will calculate the factors of 62950 and 62954 and find the biggest common factor number .

Step-1: Prime Factorization of 62950

Prime factors of 62950 are 2, 5, 1259. Prime factorization of 62950 in exponential form is:

62950 = 2¹ × 5² × 1259¹

Step-2: Prime Factorization of 62954

Prime factors of 62954 are 2, 31477. Prime factorization of 62954 in exponential form is:

62954 = 2¹ × 31477¹

Step-3: Factors of 62950

List of positive integer factors of 62950 that divides 62950 without a remainder.

1, 2, 5, 10, 25, 50, 1259, 2518, 6295, 12590, 31475

Step-4: Factors of 62954

List of positive integer factors of 62954 that divides 62950 without a remainder.

1, 2, 31477

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62950 and 62954. The biggest common factor number is the GCF number.
So the greatest common factor 62950 and 62954 is 2.

Also check out the Least Common Multiple of 62950 and 62954