What is the Greatest Common Factor of 62986 and 62993?

Greatest common factor (GCF) of 62986 and 62993 is 7.

GCF(62986,62993) = 7

We will now calculate the prime factors of 62986 and 62993, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62986 and 62993.

How to find the GCF of 62986 and 62993?

We will first find the prime factorization of 62986 and 62993. After we will calculate the factors of 62986 and 62993 and find the biggest common factor number .

Step-1: Prime Factorization of 62986

Prime factors of 62986 are 2, 7, 11, 409. Prime factorization of 62986 in exponential form is:

62986 = 2¹ × 7¹ × 11¹ × 409¹

Step-2: Prime Factorization of 62993

Prime factors of 62993 are 7, 8999. Prime factorization of 62993 in exponential form is:

62993 = 7¹ × 8999¹

Step-3: Factors of 62986

List of positive integer factors of 62986 that divides 62986 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154, 409, 818, 2863, 4499, 5726, 8998, 31493

Step-4: Factors of 62993

List of positive integer factors of 62993 that divides 62986 without a remainder.

1, 7, 8999

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62986 and 62993. The biggest common factor number is the GCF number.
So the greatest common factor 62986 and 62993 is 7.

Also check out the Least Common Multiple of 62986 and 62993