What is the Greatest Common Factor of 62860 and 62874?

Greatest common factor (GCF) of 62860 and 62874 is 14.

GCF(62860,62874) = 14

We will now calculate the prime factors of 62860 and 62874, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62860 and 62874.

How to find the GCF of 62860 and 62874?

We will first find the prime factorization of 62860 and 62874. After we will calculate the factors of 62860 and 62874 and find the biggest common factor number .

Step-1: Prime Factorization of 62860

Prime factors of 62860 are 2, 5, 7, 449. Prime factorization of 62860 in exponential form is:

62860 = 2² × 5¹ × 7¹ × 449¹

Step-2: 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-3: Factors of 62860

List of positive integer factors of 62860 that divides 62860 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 449, 898, 1796, 2245, 3143, 4490, 6286, 8980, 12572, 15715, 31430

Step-4: Factors of 62874

List of positive integer factors of 62874 that divides 62860 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62860 and 62874. The biggest common factor number is the GCF number.
So the greatest common factor 62860 and 62874 is 14.

Also check out the Least Common Multiple of 62860 and 62874