What is the Greatest Common Factor of 62874 and 62884?

Greatest common factor (GCF) of 62874 and 62884 is 2.

GCF(62874,62884) = 2

We will now calculate the prime factors of 62874 and 62884, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62874 and 62884.

How to find the GCF of 62874 and 62884?

We will first find the prime factorization of 62874 and 62884. After we will calculate the factors of 62874 and 62884 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 62884

Prime factors of 62884 are 2, 79, 199. Prime factorization of 62884 in exponential form is:

62884 = 2² × 79¹ × 199¹

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 62884

List of positive integer factors of 62884 that divides 62874 without a remainder.

1, 2, 4, 79, 158, 199, 316, 398, 796, 15721, 31442

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62874 and 62884. The biggest common factor number is the GCF number.
So the greatest common factor 62874 and 62884 is 2.

Also check out the Least Common Multiple of 62874 and 62884