What is the Greatest Common Factor of 62874 and 62892?

Greatest common factor (GCF) of 62874 and 62892 is 18.

GCF(62874,62892) = 18

We will now calculate the prime factors of 62874 and 62892, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62874 and 62892.

How to find the GCF of 62874 and 62892?

We will first find the prime factorization of 62874 and 62892. After we will calculate the factors of 62874 and 62892 and find the biggest common factor number .

Step-1: Prime Factorization of 62874

Prime factors of 62874 are 2, 3, 7, 499. Prime factorization of 62874 in exponential form is:

62874 = 2¹ × 3² × 7¹ × 499¹

Step-2: Prime Factorization of 62892

Prime factors of 62892 are 2, 3, 1747. Prime factorization of 62892 in exponential form is:

62892 = 2² × 3² × 1747¹

Step-3: Factors of 62874

List of positive integer factors of 62874 that divides 62874 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 499, 998, 1497, 2994, 3493, 4491, 6986, 8982, 10479, 20958, 31437

Step-4: Factors of 62892

List of positive integer factors of 62892 that divides 62874 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1747, 3494, 5241, 6988, 10482, 15723, 20964, 31446

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62874 and 62892. The biggest common factor number is the GCF number.
So the greatest common factor 62874 and 62892 is 18.

Also check out the Least Common Multiple of 62874 and 62892