What is the Greatest Common Factor of 62872 and 62890?

Greatest common factor (GCF) of 62872 and 62890 is 2.

GCF(62872,62890) = 2

We will now calculate the prime factors of 62872 and 62890, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62872 and 62890.

How to find the GCF of 62872 and 62890?

We will first find the prime factorization of 62872 and 62890. After we will calculate the factors of 62872 and 62890 and find the biggest common factor number .

Step-1: Prime Factorization of 62872

Prime factors of 62872 are 2, 29, 271. Prime factorization of 62872 in exponential form is:

62872 = 2³ × 29¹ × 271¹

Step-2: Prime Factorization of 62890

Prime factors of 62890 are 2, 5, 19, 331. Prime factorization of 62890 in exponential form is:

62890 = 2¹ × 5¹ × 19¹ × 331¹

Step-3: Factors of 62872

List of positive integer factors of 62872 that divides 62872 without a remainder.

1, 2, 4, 8, 29, 58, 116, 232, 271, 542, 1084, 2168, 7859, 15718, 31436

Step-4: Factors of 62890

List of positive integer factors of 62890 that divides 62872 without a remainder.

1, 2, 5, 10, 19, 38, 95, 190, 331, 662, 1655, 3310, 6289, 12578, 31445

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62872 and 62890. The biggest common factor number is the GCF number.
So the greatest common factor 62872 and 62890 is 2.

Also check out the Least Common Multiple of 62872 and 62890