What is the Greatest Common Factor of 63640 and 63649?

Greatest common factor (GCF) of 63640 and 63649 is 1.

GCF(63640,63649) = 1

We will now calculate the prime factors of 63640 and 63649, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63640 and 63649.

How to find the GCF of 63640 and 63649?

We will first find the prime factorization of 63640 and 63649. After we will calculate the factors of 63640 and 63649 and find the biggest common factor number .

Step-1: Prime Factorization of 63640

Prime factors of 63640 are 2, 5, 37, 43. Prime factorization of 63640 in exponential form is:

63640 = 2³ × 5¹ × 37¹ × 43¹

Step-2: Prime Factorization of 63649

Prime factors of 63649 are 63649. Prime factorization of 63649 in exponential form is:

63649 = 63649¹

Step-3: Factors of 63640

List of positive integer factors of 63640 that divides 63640 without a remainder.

1, 2, 4, 5, 8, 10, 20, 37, 40, 43, 74, 86, 148, 172, 185, 215, 296, 344, 370, 430, 740, 860, 1480, 1591, 1720, 3182, 6364, 7955, 12728, 15910, 31820

Step-4: Factors of 63649

List of positive integer factors of 63649 that divides 63640 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63640 and 63649. The biggest common factor number is the GCF number.
So the greatest common factor 63640 and 63649 is 1.

Also check out the Least Common Multiple of 63640 and 63649