What is the Greatest Common Factor of 62888 and 62902?

Greatest common factor (GCF) of 62888 and 62902 is 14.

GCF(62888,62902) = 14

We will now calculate the prime factors of 62888 and 62902, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62888 and 62902.

How to find the GCF of 62888 and 62902?

We will first find the prime factorization of 62888 and 62902. After we will calculate the factors of 62888 and 62902 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 62902

Prime factors of 62902 are 2, 7, 4493. Prime factorization of 62902 in exponential form is:

62902 = 2¹ × 7¹ × 4493¹

Step-3: Factors of 62888

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

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

Step-4: Factors of 62902

List of positive integer factors of 62902 that divides 62888 without a remainder.

1, 2, 7, 14, 4493, 8986, 31451

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62888 and 62902. The biggest common factor number is the GCF number.
So the greatest common factor 62888 and 62902 is 14.

Also check out the Least Common Multiple of 62888 and 62902