What is the Greatest Common Factor of 62828 and 62846?

Greatest common factor (GCF) of 62828 and 62846 is 2.

GCF(62828,62846) = 2

We will now calculate the prime factors of 62828 and 62846, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62828 and 62846.

How to find the GCF of 62828 and 62846?

We will first find the prime factorization of 62828 and 62846. After we will calculate the factors of 62828 and 62846 and find the biggest common factor number .

Step-1: Prime Factorization of 62828

Prime factors of 62828 are 2, 113, 139. Prime factorization of 62828 in exponential form is:

62828 = 2² × 113¹ × 139¹

Step-2: Prime Factorization of 62846

Prime factors of 62846 are 2, 7, 67. Prime factorization of 62846 in exponential form is:

62846 = 2¹ × 7¹ × 67²

Step-3: Factors of 62828

List of positive integer factors of 62828 that divides 62828 without a remainder.

1, 2, 4, 113, 139, 226, 278, 452, 556, 15707, 31414

Step-4: Factors of 62846

List of positive integer factors of 62846 that divides 62828 without a remainder.

1, 2, 7, 14, 67, 134, 469, 938, 4489, 8978, 31423

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62828 and 62846. The biggest common factor number is the GCF number.
So the greatest common factor 62828 and 62846 is 2.

Also check out the Least Common Multiple of 62828 and 62846