What is the Greatest Common Factor of 62678 and 62692?

Greatest common factor (GCF) of 62678 and 62692 is 14.

GCF(62678,62692) = 14

We will now calculate the prime factors of 62678 and 62692, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62678 and 62692.

How to find the GCF of 62678 and 62692?

We will first find the prime factorization of 62678 and 62692. After we will calculate the factors of 62678 and 62692 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 62692

Prime factors of 62692 are 2, 7, 2239. Prime factorization of 62692 in exponential form is:

62692 = 2² × 7¹ × 2239¹

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 62692

List of positive integer factors of 62692 that divides 62678 without a remainder.

1, 2, 4, 7, 14, 28, 2239, 4478, 8956, 15673, 31346

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62678 and 62692. The biggest common factor number is the GCF number.
So the greatest common factor 62678 and 62692 is 14.

Also check out the Least Common Multiple of 62678 and 62692