What is the Greatest Common Factor of 62874 and 62888?

Greatest common factor (GCF) of 62874 and 62888 is 14.

GCF(62874,62888) = 14

We will now calculate the prime factors of 62874 and 62888, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62874 and 62888.

How to find the GCF of 62874 and 62888?

We will first find the prime factorization of 62874 and 62888. After we will calculate the factors of 62874 and 62888 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 62888

Prime factors of 62888 are 2, 7, 1123. Prime factorization of 62888 in exponential form is:

62888 = 2³ × 7¹ × 1123¹

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 62888

List of positive integer factors of 62888 that divides 62874 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1123, 2246, 4492, 7861, 8984, 15722, 31444

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62874 and 62888. The biggest common factor number is the GCF number.
So the greatest common factor 62874 and 62888 is 14.

Also check out the Least Common Multiple of 62874 and 62888