What is the Greatest Common Factor of 62678 and 62696?

Greatest common factor (GCF) of 62678 and 62696 is 2.

GCF(62678,62696) = 2

We will now calculate the prime factors of 62678 and 62696, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62678 and 62696.

How to find the GCF of 62678 and 62696?

We will first find the prime factorization of 62678 and 62696. After we will calculate the factors of 62678 and 62696 and find the biggest common factor number .

Step-1: Prime Factorization of 62678

Prime factors of 62678 are 2, 7, 11, 37. Prime factorization of 62678 in exponential form is:

62678 = 2¹ × 7¹ × 11² × 37¹

Step-2: Prime Factorization of 62696

Prime factors of 62696 are 2, 17, 461. Prime factorization of 62696 in exponential form is:

62696 = 2³ × 17¹ × 461¹

Step-3: Factors of 62678

List of positive integer factors of 62678 that divides 62678 without a remainder.

1, 2, 7, 11, 14, 22, 37, 74, 77, 121, 154, 242, 259, 407, 518, 814, 847, 1694, 2849, 4477, 5698, 8954, 31339

Step-4: Factors of 62696

List of positive integer factors of 62696 that divides 62678 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136, 461, 922, 1844, 3688, 7837, 15674, 31348

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62678 and 62696. The biggest common factor number is the GCF number.
So the greatest common factor 62678 and 62696 is 2.

Also check out the Least Common Multiple of 62678 and 62696