What is the Greatest Common Factor of 62874 and 62894?

Greatest common factor (GCF) of 62874 and 62894 is 2.

GCF(62874,62894) = 2

We will now calculate the prime factors of 62874 and 62894, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62874 and 62894.

How to find the GCF of 62874 and 62894?

We will first find the prime factorization of 62874 and 62894. After we will calculate the factors of 62874 and 62894 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 62894

Prime factors of 62894 are 2, 13, 41, 59. Prime factorization of 62894 in exponential form is:

62894 = 2¹ × 13¹ × 41¹ × 59¹

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 62894

List of positive integer factors of 62894 that divides 62874 without a remainder.

1, 2, 13, 26, 41, 59, 82, 118, 533, 767, 1066, 1534, 2419, 4838, 31447

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62874 and 62894. The biggest common factor number is the GCF number.
So the greatest common factor 62874 and 62894 is 2.

Also check out the Least Common Multiple of 62874 and 62894