What is the Greatest Common Factor of 62985 and 62998?

Greatest common factor (GCF) of 62985 and 62998 is 13.

GCF(62985,62998) = 13

We will now calculate the prime factors of 62985 and 62998, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62985 and 62998.

How to find the GCF of 62985 and 62998?

We will first find the prime factorization of 62985 and 62998. After we will calculate the factors of 62985 and 62998 and find the biggest common factor number .

Step-1: Prime Factorization of 62985

Prime factors of 62985 are 3, 5, 13, 17, 19. Prime factorization of 62985 in exponential form is:

62985 = 3¹ × 5¹ × 13¹ × 17¹ × 19¹

Step-2: Prime Factorization of 62998

Prime factors of 62998 are 2, 13, 2423. Prime factorization of 62998 in exponential form is:

62998 = 2¹ × 13¹ × 2423¹

Step-3: Factors of 62985

List of positive integer factors of 62985 that divides 62985 without a remainder.

1, 3, 5, 13, 15, 17, 19, 39, 51, 57, 65, 85, 95, 195, 221, 247, 255, 285, 323, 663, 741, 969, 1105, 1235, 1615, 3315, 3705, 4199, 4845, 12597, 20995

Step-4: Factors of 62998

List of positive integer factors of 62998 that divides 62985 without a remainder.

1, 2, 13, 26, 2423, 4846, 31499

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62985 and 62998. The biggest common factor number is the GCF number.
So the greatest common factor 62985 and 62998 is 13.

Also check out the Least Common Multiple of 62985 and 62998