What is the Greatest Common Factor of 62678 and 62688?

Greatest common factor (GCF) of 62678 and 62688 is 2.

GCF(62678,62688) = 2

We will now calculate the prime factors of 62678 and 62688, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62678 and 62688.

How to find the GCF of 62678 and 62688?

We will first find the prime factorization of 62678 and 62688. After we will calculate the factors of 62678 and 62688 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 62688

Prime factors of 62688 are 2, 3, 653. Prime factorization of 62688 in exponential form is:

62688 = 2⁵ × 3¹ × 653¹

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 62688

List of positive integer factors of 62688 that divides 62678 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 653, 1306, 1959, 2612, 3918, 5224, 7836, 10448, 15672, 20896, 31344

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62678 and 62688. The biggest common factor number is the GCF number.
So the greatest common factor 62678 and 62688 is 2.

Also check out the Least Common Multiple of 62678 and 62688