What is the Greatest Common Factor of 62947 and 62966?

Greatest common factor (GCF) of 62947 and 62966 is 19.

GCF(62947,62966) = 19

We will now calculate the prime factors of 62947 and 62966, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62947 and 62966.

How to find the GCF of 62947 and 62966?

We will first find the prime factorization of 62947 and 62966. After we will calculate the factors of 62947 and 62966 and find the biggest common factor number .

Step-1: Prime Factorization of 62947

Prime factors of 62947 are 19, 3313. Prime factorization of 62947 in exponential form is:

62947 = 19¹ × 3313¹

Step-2: Prime Factorization of 62966

Prime factors of 62966 are 2, 19, 1657. Prime factorization of 62966 in exponential form is:

62966 = 2¹ × 19¹ × 1657¹

Step-3: Factors of 62947

List of positive integer factors of 62947 that divides 62947 without a remainder.

1, 19, 3313

Step-4: Factors of 62966

List of positive integer factors of 62966 that divides 62947 without a remainder.

1, 2, 19, 38, 1657, 3314, 31483

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62947 and 62966. The biggest common factor number is the GCF number.
So the greatest common factor 62947 and 62966 is 19.

Also check out the Least Common Multiple of 62947 and 62966